#calculus Recent Posts - STEMGeeks

1 day ago

SciFi Multiverse

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.

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197.541 STEM

1 day ago

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 from the…

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209.560 STEM

4 days ago

SciFi Multiverse

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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29.834 STEM

4 days ago

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, hence…

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182.029 STEM

7 days ago

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 series involving…

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217.785 STEM

9 days ago

SciFi Multiverse

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 first

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28.031 STEM

9 days ago

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 first and last…

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5.820 STEM

11 days ago

SciFi Multiverse

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 valu

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5.077 STEM

11 days ago

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 convention, x0 = 1, so the first t

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220.100 STEM

13 days ago

SciFi Multiverse

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 infinit

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5.618 STEM