List questions from calculus

Published on 13 Apr 2026 - 20:29

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Solve the equation $e^x=x^e$

Published on 12 Apr 2026 - 1:15

110

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Prove $\lim_{x\to\infty}\frac{f(x)}{x}=0$ if $f$ is continuous and $\lim_{x\to\infty}f(x+1)-f(x)=0$

Published on 17 Apr 2026 - 2:42

74

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Does $\frac20 = \frac50$?

Published on 10 Apr 2026 - 20:09

150

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Multiplying two power series with negative indices

Published on 14 Apr 2026 - 6:05

71

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Showing that $f(x) = f(0) + \int_0^xf'(t)dt = f(0) + f'(0)x + \int_0^x(x-t)f''(t)dt$ through integration by parts

Published on 16 Apr 2026 - 19:04

48

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Line integral with respect to a parametrized vector

Published on 15 Apr 2026 - 2:58

72

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Trigonometric Definite Integral

Published on 13 Apr 2026 - 4:06

130

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Find limit of $\lim_{x\to 0}{\left(\sqrt{x^6+5x^4+7x^2}\cos(1+x^{-1000})\right)}$, if it exists

Published on 17 Apr 2026 - 14:44

913

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What is the derivative of $(2x)^{4x}$?

Published on 13 Apr 2026 - 15:12

39

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What will be the minimum condition on $f_n(x)=x^n \sin x$

Published on 15 Apr 2026 - 20:36

1.4k

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Limit of $1 - \cos(x)$ as $x$ tends to zero.

Published on 14 Apr 2026 - 12:29

495

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Leibniz formula for successive differentiation proof?

Published on 13 Apr 2026 - 23:32

28

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Find the limit as x approaches zero

Published on 16 Apr 2026 - 19:11

55

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How to do this differentiation.

Published on 11 Apr 2026 - 16:48

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Solve the equation $e^x=x^e$

Prove $\lim_{x\to\infty}\frac{f(x)}{x}=0$ if $f$ is continuous and $\lim_{x\to\infty}f(x+1)-f(x)=0$

Does $\frac20 = \frac50$?

Multiplying two power series with negative indices

Showing that $f(x) = f(0) + \int_0^xf'(t)dt = f(0) + f'(0)x + \int_0^x(x-t)f''(t)dt$ through integration by parts

Line integral with respect to a parametrized vector

Trigonometric Definite Integral

Find limit of $\lim_{x\to 0}{\left(\sqrt{x^6+5x^4+7x^2}\cos(1+x^{-1000})\right)}$, if it exists

What is the derivative of $(2x)^{4x}$?

What will be the minimum condition on $f_n(x)=x^n \sin x$

Limit of $1 - \cos(x)$ as $x$ tends to zero.

Leibniz formula for successive differentiation proof?

Find the limit as x approaches zero

How to do this differentiation.

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