List questions from calculus

Published on 14 May 2026 - 11:35

920

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Can related rates problems be thought of as a ratio that is equivalent to the instantaneous rate of change of the governing function?

Published on 14 Apr 2026 - 19:23

58

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Gradient of a function that only depedends on $\|x\|$

Published on 18 Apr 2026 - 13:18

104

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Is that true that the limiting function which is a function series of convex functions is also convex?

Published on 12 Apr 2026 - 0:52

40

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With an appropiate substitution of the Taylor polynomial around $0$ give an estimation of $sin 1$ with the accuracy of $10^{-4}$.

Published on 16 Apr 2026 - 9:01

300

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Prove that $f^\ast\omega=\det f \cdot \omega$

Published on 10 Apr 2026 - 6:15

87

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Uniformly differentiable diffeomorphisms

Published on 13 Apr 2026 - 10:32

102

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Prove that the series $\sum_{n=0}^\infty \frac{(n!)^n}{e^{n!}}$ does not converge.

Published on 14 Apr 2026 - 20:27

39

Views

Calculus exponential function

Published on 14 Apr 2026 - 21:36

95

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"Easy looking" indefinite integral to be performed

Published on 11 May 2026 - 4:15

175

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Evaluate: $\lim_{x\to 2}\frac{x-2}{x^2-4}$ without using L'Hôpital Rule

Published on 11 May 2026 - 9:08

99

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Why do we have $ \sin(x) = x \prod_{n=1}^{\infty} ( 1 - \frac{4}{3} \sin^2 (\frac{x}{3^n})) $

Published on 10 May 2026 - 17:01

194

Views

Problem about cross product from Spivak

Published on 15 May 2026 - 22:53

94

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Another indefinite integral I need to perform

Published on 11 May 2026 - 4:13

49

Views

How to write ln(1+x) as a power series centred at 0?

Published on 11 Apr 2026 - 13:10

List Question

Applying the ratio test and uniform convergence

Can related rates problems be thought of as a ratio that is equivalent to the instantaneous rate of change of the governing function?

Gradient of a function that only depedends on $\|x\|$

Is that true that the limiting function which is a function series of convex functions is also convex?

With an appropiate substitution of the Taylor polynomial around $0$ give an estimation of $sin 1$ with the accuracy of $10^{-4}$.

Prove that $f^\ast\omega=\det f \cdot \omega$

Uniformly differentiable diffeomorphisms

Prove that the series $\sum_{n=0}^\infty \frac{(n!)^n}{e^{n!}}$ does not converge.

Calculus exponential function

"Easy looking" indefinite integral to be performed

Evaluate: $\lim_{x\to 2}\frac{x-2}{x^2-4}$ without using L'Hôpital Rule

Why do we have $ \sin(x) = x \prod_{n=1}^{\infty} ( 1 - \frac{4}{3} \sin^2 (\frac{x}{3^n})) $

Problem about cross product from Spivak

Another indefinite integral I need to perform

How to write ln(1+x) as a power series centred at 0?

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