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Square root of $e^{ix}$

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#complex-numbers #exponential-function
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Limit of a sequence of functions recursively defined by integrals

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#sequences-and-series #functions #exponential-function #fourier-series
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Number system with $e^x = 0$ for some $x$

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#abstract-algebra #complex-numbers #logarithms #exponential-function
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How can one properly understand the fact that $e^x$ can be differentiated an infinite amount of times?

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#calculus #derivatives #exponential-function
166
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how tell if a series of power numbers is bigger then others

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#logarithms #exponential-function
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Prove Exponential Function Inequality: $e^x \le \frac{1}{1-x}$

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#real-analysis #inequality #exponential-function
219
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Simplify $\frac{1-(\frac{4}{25})^{21}}{1-\frac{4}{25}}$

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#algebra-precalculus #exponential-function
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Limit of $(1+3/n)^{4n}$ as $n$ goes to infinity

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#calculus #sequences-and-series #limits #exponential-function
178
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Solving an expression containing two added exponential functions

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#logarithms #exponential-function
136
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What are the solutions for $2^x=x^2$?

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#exponential-function #quadratics
352
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Show $\sum_{k=1}^\infty \frac{k^2}{k!} = 2\mathrm{e}$

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#sequences-and-series #convergence-divergence #exponential-function
520
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An integral for $2\pi+e-9$

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#definite-integrals #exponential-function #pi #diophantine-approximation
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Finding an inverse of $f(x,y)=(e^x \cos y,e^x \sin y)$ on a neighborhood of a given point

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#multivariable-calculus #exponential-function #inverse-function #inverse-function-theorem
106
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What function describes this problem of every possible breeding of a set of dogs?

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#exponential-function #factorial #trees
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What is the evaluation of $\sum_{k=1}^{\infty}\frac{k^n}{k!}$?

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#sequences-and-series #exponential-function

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