Trigonometry and Limits: limit of sin(x)/x as x goes to 0 $HIVE #trigonometry #mathematics #limits https://peakd.com/hive-128780/@mes/trigonometry-and-limits-limit-of-sinxx-as-x-goes-to-0
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Trigonometry and Limits: limit of sin(x)/x as x goes to 0 | PeakD
https://youtu.be/_Hts9GGx7oY In this video I show a geometric proof of this very useful limit of sin(x)/x as x goes to ... by mes
MES Links
Infinite Limits of Sequences at Infinity https://youtu.be/a4M4w3PhCd8 - summary - playlist - notes In this video I go over the notation and precise definition for sequences that diverge to infinity when the number of terms go to infinity. #math #science…
Limit Laws for Sequences https://youtu.be/vgAitTQU2Fc - summary - playlist - notes
In this video I list the main limit laws for sequences, and which are just the general limit laws since they hold for convergent sequences as well.
#math #science #education #limits #sequences
In this video I list the main limit laws for sequences, and which are just the general limit laws since they hold for convergent sequences as well.
#math #science #education #limits #sequences
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MES Links
Limit Laws for Sequences https://youtu.be/vgAitTQU2Fc - summary - playlist - notes In this video I list the main limit laws for sequences, and which are just the general limit laws since they hold for convergent sequences as well. #math #science #education…
Squeeze Theorem for Sequences https://youtu.be/fmTDMMUL31Q - summary - playlist - notes
In this video I rewrite the general squeeze theorem into its equivalent form for sequences. Essentially, if a sequence is always between two other sequences after a given set of terms, and those two sequences have the same limit, then our given sequence also has that same limit, and is said it gets "squeezed" between the two sequences.
#math #science #education #limits #sequences
In this video I rewrite the general squeeze theorem into its equivalent form for sequences. Essentially, if a sequence is always between two other sequences after a given set of terms, and those two sequences have the same limit, then our given sequence also has that same limit, and is said it gets "squeezed" between the two sequences.
#math #science #education #limits #sequences
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MES Links
Squeeze Theorem for Sequences https://youtu.be/fmTDMMUL31Q - summary - playlist - notes In this video I rewrite the general squeeze theorem into its equivalent form for sequences. Essentially, if a sequence is always between two other sequences after a given…
Examples on Limits of Sequences https://youtu.be/80GBMrzuXVo - summary - playlist - notes
In this video I go over 4 examples on the limits of sequences and on determining if the limits exists or the sequence diverges.
#math #science #education #limits #sequences
In this video I go over 4 examples on the limits of sequences and on determining if the limits exists or the sequence diverges.
#math #science #education #limits #sequences
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MES Links
Examples on Limits of Sequences https://youtu.be/80GBMrzuXVo - summary - playlist - notes In this video I go over 4 examples on the limits of sequences and on determining if the limits exists or the sequence diverges. #math #science #education #limits #sequences
Plugging a Sequence into a Function and Examples https://youtu.be/5Vc8QX_I7KA - summary - playlist - notes
In this video I go over Theorem 3, which states that if a sequence has a limit, then plugging it into a continuous function at that limit is the same as plugging in the limit.
#math #science #education #limits #sequences
In this video I go over Theorem 3, which states that if a sequence has a limit, then plugging it into a continuous function at that limit is the same as plugging in the limit.
#math #science #education #limits #sequences
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MES Links
Plugging a Sequence into a Function and Examples https://youtu.be/5Vc8QX_I7KA - summary - playlist - notes In this video I go over Theorem 3, which states that if a sequence has a limit, then plugging it into a continuous function at that limit is the same…
Creating Graphs of Sequences https://youtu.be/AEubaxYkfX4 - summary - playlist - notes
In this video I discuss how to graph sequences manually as well as using Desmos online graphing calculator.
#math #science #Desmos #limits #sequences
In this video I discuss how to graph sequences manually as well as using Desmos online graphing calculator.
#math #science #Desmos #limits #sequences
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MES Links
Exercise 2: If the limit of the absolute values of a sequence is zero, so is the sequence https://youtu.be/UKhcLVTQgl8 - summary - playlist - notes In this video I prove Theorem 2, which states that if the limit of the absolute values of a sequence is zero…
Exercise 3: Convergent Sequence inside a Continuous Function https://youtu.be/vdQa-zAA6w0 - summary - playlist - notes
In this video I prove Theorem 3, which states that a convergent sequence with limit L can be plugged directly into a continuous function at L, thus obtaining f(L).
#math #sequences #limits #education #calculus
In this video I prove Theorem 3, which states that a convergent sequence with limit L can be plugged directly into a continuous function at L, thus obtaining f(L).
#math #sequences #limits #education #calculus
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MES Links
Introduction to Vector Functions https://youtu.be/O7bGX857LSg - Notes - Summary - Playlist - Vector Functions playlist In this video I introduce vector functions and show how they differ from the real-value functions that we are used to. Vector functions…
Limit of a Vector Function https://youtu.be/z48K6YRJ3Jc - Summary - Notes - Playlist - Vector Functions playlist
In this video I go over the definition of the limit of a vector function, which involves taking the limit of each of its component functions. If the limit exists, then so does the limit of each component function.
#math #limits #vectorfunctions #education #calculus
In this video I go over the definition of the limit of a vector function, which involves taking the limit of each of its component functions. If the limit exists, then so does the limit of each component function.
#math #limits #vectorfunctions #education #calculus
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MES Links
Charged Particles Moving in Electromagnetic Fields https://youtu.be/48quQVxKZQ8 - Summary - Notes - Playlist - Vector Functions playlist In this video I show that space curves can be used to model charged particle motion in orthogonally oriented electric…
Exercise 1: Precise Definition of a Vector Function Limit https://youtu.be/mVJ4wviwDs8 - Summary - Notes - Playlist - Vector Functions playlist
In this video I go over the precise definition of a vector function limit and prove it in 2 different ways. The 1st solution involves assuming the vector exists, and then using the basic definition of a vector function limit as well as the 3D distance formula, to prove the difference inequalities of the precise definition. The 2nd solution is the reverse: it involves assuming the precise definition difference inequalities and then working backwards to prove the vector function limit exists. Lastly, I show that the precise definition of a vector function limit in 3D can be visualized as a sphere which gets indefinitely smaller as the interval shrinks.
This is probably the only in-depth precise definition of limits for vector functions anywhere in the internet, so buckle up!
#math #vectorfunctions #limits #science #calculus
In this video I go over the precise definition of a vector function limit and prove it in 2 different ways. The 1st solution involves assuming the vector exists, and then using the basic definition of a vector function limit as well as the 3D distance formula, to prove the difference inequalities of the precise definition. The 2nd solution is the reverse: it involves assuming the precise definition difference inequalities and then working backwards to prove the vector function limit exists. Lastly, I show that the precise definition of a vector function limit in 3D can be visualized as a sphere which gets indefinitely smaller as the interval shrinks.
This is probably the only in-depth precise definition of limits for vector functions anywhere in the internet, so buckle up!
#math #vectorfunctions #limits #science #calculus
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MES Links
Exercise 1: Precise Definition of a Vector Function Limit https://youtu.be/mVJ4wviwDs8 - Summary - Notes - Playlist - Vector Functions playlist In this video I go over the precise definition of a vector function limit and prove it in 2 different ways. The…
Exercise 2: Properties of Vector Function Limits https://youtu.be/y5e8Xhdt39Q - Summary - Notes - Playlist - Vector Functions playlist
In this video I prove the main properties of vector function limits, namely the addition, constant multiplication, as well as the dot and cross products of their limits.
#math #vectorfunctions #limits #science #calculus
In this video I prove the main properties of vector function limits, namely the addition, constant multiplication, as well as the dot and cross products of their limits.
#math #vectorfunctions #limits #science #calculus
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