List questions from exponential-function

Published on 09 Apr 2026 - 8:32

258

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How can we solve $\lim\limits_{n \to \infty} \left (1 + \frac{1}{n} \right)^n$?

Published on 26 Mar 2026 - 4:33

1.1k

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value of $ \sum_{k=1}^{\infty} \frac{1}{k!}$

Published on 10 Apr 2026 - 20:51

57

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Finding Energy of Signal

Published on 09 Apr 2026 - 16:13

113

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For $e:=\lim\limits_{n\rightarrow\infty}(1+\frac{1}{n})^n$ prove $e^x = \lim\limits_{n\rightarrow\infty} (1+\frac{x}{n})^n$

Published on 17 Oct 2016 - 1:57

20

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Integral with trigonometric subtitution.

Published on 06 Apr 2026 - 13:04

62

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Integral of $\exp⁡(-j\sin⁡(t))$ over $[0,T]$

Published on 17 Oct 2016 - 18:55

246

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Inequality involving exponential integral

Published on 11 Apr 2026 - 2:37

86

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Evaluate $\lim_{j \rightarrow +\infty} (I + A/j)^j$

Published on 03 Apr 2026 - 19:43

186

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Summation or Integral representation ${e^{2}\above 1.5pt \ln(2)}=10.66015459\ldots$

Published on 18 Oct 2016 - 15:52

252

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Solving ODE using Euler's method

Published on 11 Apr 2026 - 13:33

3.8k

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Solving a matrix exponential integral...

Published on 11 Apr 2026 - 16:34

273

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Exponential inequality(Proof)

Published on 12 Apr 2026 - 1:51

908

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Generalization of Hölder's inequality with negative exponent

Published on 25 Mar 2026 - 19:03

551

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Prove $ae^{\frac{x}{a}} + be^{-\frac{x}{b}}\leq e^{\frac{x^2}{8a^2b^2}}, \forall x \in \mathbb{R}$ if $a, b > 0; a + b = 1$

Published on 21 Oct 2016 - 18:46

List Question

Integration of exponential function having limits upto infinity

How can we solve $\lim\limits_{n \to \infty} \left (1 + \frac{1}{n} \right)^n$?

value of $ \sum_{k=1}^{\infty} \frac{1}{k!}$

Finding Energy of Signal

For $e:=\lim\limits_{n\rightarrow\infty}(1+\frac{1}{n})^n$ prove $e^x = \lim\limits_{n\rightarrow\infty} (1+\frac{x}{n})^n$

Integral with trigonometric subtitution.

Integral of $\exp⁡(-j\sin⁡(t))$ over $[0,T]$

Inequality involving exponential integral

Evaluate $\lim_{j \rightarrow +\infty} (I + A/j)^j$

Summation or Integral representation ${e^{2}\above 1.5pt \ln(2)}=10.66015459\ldots$

Solving ODE using Euler's method

Solving a matrix exponential integral...

Exponential inequality(Proof)

Generalization of Hölder's inequality with negative exponent

Prove $ae^{\frac{x}{a}} + be^{-\frac{x}{b}}\leq e^{\frac{x^2}{8a^2b^2}}, \forall x \in \mathbb{R}$ if $a, b > 0; a + b = 1$

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