List questions from exponential-function

Published on 25 Mar 2026 - 19:24

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If $a+b=2$ so $2+\frac{ab(a-b)^2}{4}\leq a^{1+\sqrt{b}}+b^{1+\sqrt{a}}\leq2+\frac{(a-b)^2}{4}$

Published on 17 Apr 2026 - 10:52

103

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How do I compute this limit: $\lim_{x \to \infty} \left( 1-\frac1{x^2}\right)^{x^2-1} = \frac1e$?

Published on 16 Apr 2026 - 15:34

1.1k

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All possible solutions to $x^y = 8$ and $y^x = 9$

Published on 16 Apr 2026 - 0:27

30

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Proving the independence of the solutions of an ordinary differential lineal equation of arbitrary order with constant coefficients

Published on 14 Apr 2026 - 12:19

1.5k

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Finding an exponential-like function given its values and graph to predict next values

Published on 16 Apr 2026 - 14:38

598

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Attempt on proving $e^x$ is continuous on $\Bbb{R}$

Published on 12 Apr 2026 - 9:05

741

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How do I find the maximum value of $x^{\ln y}$?

Published on 10 Apr 2026 - 12:52

40

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Finding possible values for exponential identity without logarithms

Published on 08 Apr 2026 - 17:37

87

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what is the Integral of Exponential function??

Published on 13 Apr 2026 - 9:45

57

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Find value or $W=\sqrt[4x+4]{3^{x}\left ( \sqrt{5}-1 \right )}$ according to condition $9^{x}=6^x +4^x$

Published on 17 Apr 2026 - 15:15

520

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Proof of exponential property using Analytic continuation

Published on 26 Mar 2026 - 9:37

231

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Why does $x^{-1/\ln x}$ at x = 0 equal to 1?

Published on 16 Apr 2026 - 14:53

117

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How to solve this exponential/logaritmical inequality

Published on 11 Apr 2026 - 16:56

87

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How to find the value of $\sum\limits_{k=0}^{48} \frac{30^k}{k!}$

Published on 11 Apr 2026 - 9:07

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Logarithm of differential operator

If $a+b=2$ so $2+\frac{ab(a-b)^2}{4}\leq a^{1+\sqrt{b}}+b^{1+\sqrt{a}}\leq2+\frac{(a-b)^2}{4}$

How do I compute this limit: $\lim_{x \to \infty} \left( 1-\frac1{x^2}\right)^{x^2-1} = \frac1e$?

All possible solutions to $x^y = 8$ and $y^x = 9$

Proving the independence of the solutions of an ordinary differential lineal equation of arbitrary order with constant coefficients

Finding an exponential-like function given its values and graph to predict next values

Attempt on proving $e^x$ is continuous on $\Bbb{R}$

How do I find the maximum value of $x^{\ln y}$?

Finding possible values for exponential identity without logarithms

what is the Integral of Exponential function??

Find value or $W=\sqrt[4x+4]{3^{x}\left ( \sqrt{5}-1 \right )}$ according to condition $9^{x}=6^x +4^x$

Proof of exponential property using Analytic continuation

Why does $x^{-1/\ln x}$ at x = 0 equal to 1?

How to solve this exponential/logaritmical inequality

How to find the value of $\sum\limits_{k=0}^{48} \frac{30^k}{k!}$

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