List questions from summation

Published on 13 Apr 2026 - 20:39

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Prove |cos(x−1)|+|cos(x)|+|cos(x+1)|≥3/2

Published on 17 Apr 2026 - 6:12

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Challenge: How to prove this reduction identity for factorials of even numbers?

Published on 12 Apr 2026 - 11:06

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Summing $\sum_{n=0}^{\infty} n x^n$

Published on 14 Apr 2026 - 8:45

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When can we exchange limits and summations?

Published on 11 Apr 2026 - 4:09

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Prove ${-1 \choose n} = (-1)^n$

Published on 14 Apr 2026 - 22:44

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Evaluating Summation of $5^{-n}$ from $n=4$ to infinity

Published on 13 Apr 2026 - 9:33

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Factorial as a sum. Insight appreciated

Published on 11 Apr 2026 - 10:47

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Sum of Taylor Series

Published on 15 Apr 2026 - 14:05

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Second derivative of Hypergeometric function

Published on 17 Apr 2026 - 7:51

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Find the sum $1+\cos (x)+\cos (2x)+\cos (3x)+....+\cos (n-1)x$

Published on 16 Apr 2026 - 8:39

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Is it correct that $ \sum_{i=m}^na=(nm+1)a$

Published on 12 Apr 2026 - 18:55

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How to solve matrix eigenvalue equation which has a summation.

Published on 11 Apr 2026 - 13:08

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Using Binomial Theorem to prove the following

Published on 12 Apr 2026 - 21:23

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Need to prove inequality $\sum\limits_{k=0}^n \frac{1}{(n+k)} \ge \frac{2}{3}$

Published on 15 Apr 2026 - 15:37

List Question

Nested Sum Encountered in Maclaurin Expansion of $e^{-x^2}$

Prove |cos(x−1)|+|cos(x)|+|cos(x+1)|≥3/2

Challenge: How to prove this reduction identity for factorials of even numbers?

Summing $\sum_{n=0}^{\infty} n x^n$

When can we exchange limits and summations?

Prove ${-1 \choose n} = (-1)^n$

Evaluating Summation of $5^{-n}$ from $n=4$ to infinity

Factorial as a sum. Insight appreciated

Sum of Taylor Series

Second derivative of Hypergeometric function

Find the sum $1+\cos (x)+\cos (2x)+\cos (3x)+....+\cos (n-1)x$

Is it correct that $ \sum_{i=m}^na=(nm+1)a$

How to solve matrix eigenvalue equation which has a summation.

Using Binomial Theorem to prove the following

Need to prove inequality $\sum\limits_{k=0}^n \frac{1}{(n+k)} \ge \frac{2}{3}$

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