List questions from exponential-function

Published on 04 Dec 2014 - 15:08

51

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How to obtain and graph a function that first grows exponentially and then decays exponentially?

Published on 04 Apr 2026 - 11:25

113

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Prove or disprove that $p_n > e^{p_n - p_{n-1}}$ for large enough $n$.

Published on 05 Dec 2014 - 7:04

71

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How did we come to this inequality $|\frac{e^x-1}{x}-1|\leq|\sum_{n=1}^{\infty}{\frac{|x|^n}{(n+1)!}}|$

Published on 05 Dec 2014 - 11:34

67

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Rewriting $e^{-a|t|}$

Published on 05 Dec 2014 - 14:27

41

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The time to fix a TV,is an exponential random variable with parameter $\lambda=\frac{1}{2}$.What is the probability that a fix take more than 2 hours?

Published on 05 Dec 2014 - 23:47

829

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The limit of $e^{\frac{1}{x^2 + y^2}}$ as $(x, y) \to (0, 0)$

Published on 06 Dec 2014 - 5:47

109.3k

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Why does the sum of the reciprocals of factorials converge to $e$?

Published on 29 Mar 2026 - 8:16

4.1k

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Prove that the function is of exponential order and proving in mathematics

Published on 06 Dec 2014 - 15:32

44

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exponential term evaluation doesn't make sense in this example

Published on 27 Mar 2026 - 11:45

106

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Power series $e^{-x^2}$

Published on 07 Dec 2014 - 12:31

51

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Find all real $a$ such that $6a^2+3=9^a$

Published on 08 Dec 2014 - 10:53

70

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If $x^a + x^b = x^c + x^d$ how do $a ,b , c , d$ relationship are?

Published on 08 Dec 2014 - 13:06

73

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Relation on $\int_1^x\exp{t^2}dt$

Published on 26 Mar 2026 - 9:48

47

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Application of Borel-Cantelli for sequence of two parameters

Published on 27 Mar 2026 - 22:01

List Question

Rate of convergence of the difference of two exponentials

How to obtain and graph a function that first grows exponentially and then decays exponentially?

Prove or disprove that $p_n > e^{p_n - p_{n-1}}$ for large enough $n$.

How did we come to this inequality $|\frac{e^x-1}{x}-1|\leq|\sum_{n=1}^{\infty}{\frac{|x|^n}{(n+1)!}}|$

Rewriting $e^{-a|t|}$

The time to fix a TV,is an exponential random variable with parameter $\lambda=\frac{1}{2}$.What is the probability that a fix take more than 2 hours?

The limit of $e^{\frac{1}{x^2 + y^2}}$ as $(x, y) \to (0, 0)$

Why does the sum of the reciprocals of factorials converge to $e$?

Prove that the function is of exponential order and proving in mathematics

exponential term evaluation doesn't make sense in this example

Power series $e^{-x^2}$

Find all real $a$ such that $6a^2+3=9^a$

If $x^a + x^b = x^c + x^d$ how do $a ,b , c , d$ relationship are?

Relation on $\int_1^x\exp{t^2}dt$

Application of Borel-Cantelli for sequence of two parameters

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