List questions from calculus

Published on 10 May 2026 - 14:52

94

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$ (a_{n})_{n\in \mathbb{N}} $ , $ a_{0}=-1 $ , $a_{n+1}=2+\int_{a_{n}}^{1} e^{-x^2}dx$

Published on 16 Apr 2026 - 21:47

124

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The power series of $f(x)= \frac{1}{a-x}$

Published on 14 Apr 2026 - 22:57

697

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evaluating definite integrals using power series, $\sqrt{1+x^4}$

Published on 15 Apr 2026 - 14:36

68

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Calculus logarithm function

Published on 14 May 2026 - 23:21

145

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if $\lim_{x \to 0} \frac{f(x)}{x} = l$ and $b\neq0$, then $\lim_{x \to o} \frac{f(bx)}{x} = bl$

Published on 11 May 2026 - 9:15

37

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proving/disproving the statements

Published on 14 Apr 2026 - 9:33

135

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Prove the center of the unit circle has the highest average ray length?

Published on 10 May 2026 - 18:05

43

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Let $f$ be holomorphic on an environment of $D_{R}(a)$. Prove $|f(a)|\leq \frac{1}{2\pi}\int_{0}^{2\pi}{|f(a+Re^{it})|dt}$

Published on 15 Apr 2026 - 6:45

43

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Improper integral with two problem points

Published on 10 Apr 2026 - 0:26

45

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How do make sure I cover all cases when finding CDF from the joint PDF?

Published on 11 Apr 2026 - 21:05

300

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Definition of the volume element

Published on 11 Apr 2026 - 22:07

37

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How to be sure about the limit of a given sequence?

Published on 24 Apr 2026 - 5:18

74

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Power series expansion question

Published on 09 Apr 2026 - 22:36

71

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Published on 11 Apr 2026 - 13:20

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A Simple Calculus view on Fermat's Last Theorem

$ (a_{n})_{n\in \mathbb{N}} $ , $ a_{0}=-1 $ , $a_{n+1}=2+\int_{a_{n}}^{1} e^{-x^2}dx$

The power series of $f(x)= \frac{1}{a-x}$

evaluating definite integrals using power series, $\sqrt{1+x^4}$

Calculus logarithm function

if $\lim_{x \to 0} \frac{f(x)}{x} = l$ and $b\neq0$, then $\lim_{x \to o} \frac{f(bx)}{x} = bl$

proving/disproving the statements

Prove the center of the unit circle has the highest average ray length?

Let $f$ be holomorphic on an environment of $D_{R}(a)$. Prove $|f(a)|\leq \frac{1}{2\pi}\int_{0}^{2\pi}{|f(a+Re^{it})|dt}$

Improper integral with two problem points

How do make sure I cover all cases when finding CDF from the joint PDF?

Definition of the volume element

How to be sure about the limit of a given sequence?

Power series expansion question

Related Rates Ladder

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