List questions from calculus

Published on 11 Apr 2026 - 17:46

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Combinatorial Limit

Published on 14 Apr 2026 - 19:50

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Show that ${\frac{x_1^{n}+x_2^{n}+...+x_n^{n}}{x_1x_2...x_n} + \frac{\sqrt[n]{x_1x_2...x_n}}{x_1+x_2+...+x_n}}\ge{n+\frac{1}{n}}$

Published on 17 Apr 2026 - 1:31

116

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Finding a series expansion for this integral, for large $\lambda > 0$

Published on 13 Apr 2026 - 1:15

93

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Chain rule to find derivative of $\ln(\sqrt{x})$

Published on 13 Apr 2026 - 21:39

82

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Help me to find the second limit

Published on 17 Apr 2026 - 23:13

44

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$\lim_{n \rightarrow \infty}\bigcup\limits_{k \ge n} A_k$ of $A_n:=$ open circle with radius $=1 $ and center $(\frac{(-1)^n}{n}, 0)$

Published on 17 Apr 2026 - 19:45

854

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Is this :$\cos(\sin x) > \sin(\cos x)$ true and if it is how I can prove it?

Published on 15 Apr 2026 - 10:23

69

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Is my product proof for limits correct?

Published on 10 Apr 2026 - 20:22

57

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Writing an integral in terms of the Hypergeometric Function

Published on 23 Apr 2026 - 23:36

32

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Quick question on inequality

Published on 11 Apr 2026 - 3:57

58

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Compute the derivative

Published on 13 Apr 2026 - 18:33

59

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Prove that the sequence $\ y_n= \frac{1}{x_1-2}+ \frac{1}{x_2-2}+...+\frac{1}{x_n-2}$ converges and find it`s limit

Published on 17 Apr 2026 - 23:16

73

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Continuity problem involving sequences

Published on 18 Apr 2026 - 4:18

40

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New way to find taylor series?

Published on 20 Apr 2026 - 6:07

List Question

Is my limit quotient proof correct?

Combinatorial Limit

Show that ${\frac{x_1^{n}+x_2^{n}+...+x_n^{n}}{x_1x_2...x_n} + \frac{\sqrt[n]{x_1x_2...x_n}}{x_1+x_2+...+x_n}}\ge{n+\frac{1}{n}}$

Finding a series expansion for this integral, for large $\lambda > 0$

Chain rule to find derivative of $\ln(\sqrt{x})$

Help me to find the second limit

$\lim_{n \rightarrow \infty}\bigcup\limits_{k \ge n} A_k$ of $A_n:=$ open circle with radius $=1 $ and center $(\frac{(-1)^n}{n}, 0)$

Is this :$\cos(\sin x) > \sin(\cos x)$ true and if it is how I can prove it?

Is my product proof for limits correct?

Writing an integral in terms of the Hypergeometric Function

Quick question on inequality

Compute the derivative

Prove that the sequence $\ y_n= \frac{1}{x_1-2}+ \frac{1}{x_2-2}+...+\frac{1}{x_n-2}$ converges and find it`s limit

Continuity problem involving sequences

New way to find taylor series?

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