
calculus Tag Posts Index
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Theorem 2: Series of Sums is equal to Sum of Series
In this video, I go over Theorem 2, which states that we can move a constant out of the sum of a series as well as add or subtract series individually. These follow
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Theorem 2: Series of Sums is equal to Sum of Series
In this video, I go over Theorem 2, which states that we can move a constant out of the sum of a series as well as add or subtract series individually. These follow
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Theorem 1 and the Test for the Divergence of Infinite Series
In this video, I go over Theorem 1, which states that the terms of a convergent series approach zero. Conversely, if the terms don't approach zero, the series diverges,
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Theorem 1 and the Test for the Divergence of Infinite Series
In this video, I go over Theorem 1, which states that the terms of a convergent series approach zero. Conversely, if the terms don't approach zero, the series diverges,
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Harmonic Series: Proving it diverges via an ingenious method
In this video, I show that the harmonic series, 1 + 1/2 + 1/3 + 1/4 + ..., diverges by showing its even power partial sums are greater than a similar but smaller
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Telescoping Sum: All the terms of this series cancel out except for the first and last term
In this video, I go over an infinite series in which arises an example of the famous telescoping sum such that all the terms of the series cancel except for the
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Telescoping Sum: All the terms of this series cancel out except for the first and last term.
In this video, I go over an infinite series in which arises an example of the famous telescoping sum such that all the terms of the series cancel except for the
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Geometric Series: Sum of x^n series = 1/(1 - x) if |x| is less than 1
In this video, I show that the infinite series xn = x0 + x1 + x2 + ... is just a geometric series, and converges if the absolute value of x is less than 1. By common
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Geometric Series: Sum of x^n series = 1/(1 - x) if |x| is less than 1
In this video, I show that the infinite series xn = x0 + x1 + x2 + ... is just a geometric series, and converges if the absolute value of x is less than 1. By common
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Converting the number 2.3171717... into the fraction 1147/495 via the Geometric Series
In this video, I go over an example of converting the number 2.3171717... (with infinite repeating 17) into a fraction by writing the repeating 17s as an infinite
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Converting the number 2.3171717... into the fraction 1147/495 via the Geometric Series
3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over an example of converting the number 2.3171717... (with
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Examples on Identifying Geometric Series and Determining if it Converges or Diverges
In this video, I go over two examples and two methods of identifying if a series is a geometric series, and then finding its sum if it converges. In the first example,
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Examples on Identifying Geometric Series and Determining if it Converges or Diverges
3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over two examples and two methods of identifying if a series
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Geometric Series: Deriving the Sum using an Ingenious Method (and via Similar Triangles)
In this video, I go over the geometric series, which is the sum a + a r + a r^2 + ..., and show that if the absolute value of the common ratio r is less than 1,
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Geometric Series: Deriving the Sum using an Ingenious Method (and via Similar Triangles)
3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over the geometric series, which is the sum a + a r + a r^2
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MES Math Q/A 64: What are Electromagnetic Potentials?
YouTube - Rumble - Odysee - BitChute - X - Twitch - Math Q/A playlist Electromagnetic potentials are mathematical fields introduced via vector calculus identities
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Geosynchronous Satellite + Arthur C. Clarke's connections with 9/11, Ball Lightning, & Cold Fusion
3Speak - YouTube - Telegram - Notes - Playlist - Vector Functions - MES Links In this video, I use the equation for Kepler's third law to calculate the required
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Length of Earth's Orbit around the Sun is 299 million km wide
In this video, I use Kepler's third law to calculate the length of Earth's elliptical orbit to be around 299,000,000 km wide and takes about 365.25 days to complete
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Length of Earth's Orbit around the Sun is 299 million km wide
3Speak - YouTube - Telegram - Summary - Notes - Sections playlist - Vector Functions playlist - MES Links In this video, I use Kepler's third law to calculate the
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Kepler's Third Law: Square of Planet's Orbital Period is Proportional to the Cube of its Major Axis
In this video, I derive Kepler's 3rd Law of planetary motion and obtain a formula for a planet's period of orbit around the Sun in terms of the length of its major
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