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15
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Show that the series $\sum(\exp(\frac{(-1)^n}{n})-1)$converges, but not absolutely.

Published on
#calculus #sequences-and-series #convergence-divergence #exponential-function
75
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Integral that resembles an exponential integral

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#integration #definite-integrals #special-functions #exponential-function
434
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Integral of Sinc times Exponent of Squared variable

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#integration #exponential-function
143
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Integral, possibly of Bessel or Exponential form.

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#integration #definite-integrals #exponential-function #bessel-functions
5.4k
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Direct proof for convexity of $e^x$

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#functional-analysis #convex-analysis #exponential-function
177
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Determine all real $x$ for which the series $\sum\limits_{k=1}^\infty\frac{k^k}{k!}x^k$ converges.

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#sequences-and-series #exponential-function
146
Views

how to solve this complex exponential integration ??

Published on
#integration #exponential-function #fourier-series #complex-integration
187
Views

Effective inter-arrival time converge to mean

Published on
#probability #stochastic-processes #exponential-function #queueing-theory
899
Views

Integration of exponential functions and cosine function

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#integration #exponential-function
373
Views

Partial sum of exponential series strictly increases after certain step

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#sequences-and-series #inequality #power-series #exponential-function
6.9k
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ARD Kernel - explanation

Published on
#probability #exponential-function #machine-learning
161
Views

How can we prove $e^{x+y}=e^{x}e^{y}$ by the power series form of exponential function?

Published on
#power-series #exponential-function
185
Views

Solve $a^x+b^x=c$ for $x$

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#real-analysis #exponential-function #exponentiation #closed-form #real-numbers
304
Views

Residue Theorem on an integral contains a Hankel function and a cosine function

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#integration #exponential-function #contour-integration #bessel-functions
68
Views

Complex exponential to real

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#complex-numbers #exponential-function

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