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Limit $\lim_{x\to+\infty} {e^{2x}−1\over e^x−1}$

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#limits #logarithms #exponential-function
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Integrated $\int_0^{2\pi}\frac{ae^{i\theta}+b}{ce^{i\theta}+d}e^{in\theta}d\theta$ symbolically but interested in derivation

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#calculus #integration #definite-integrals #exponential-function
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Exponential, or logarithmic, decrease.

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#logarithms #exponential-function #exponentiation
339
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Prove that $e^{x} \geq x^{e}$ for all $x \geq 0$.

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#calculus #functions #proof-verification #exponential-function
65
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Limits of functions involving exponentials

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#limits #logarithms #exponential-function #indeterminate-forms
551
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integration of an exponential containing trig functions over a finite interval.

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#integration #exponential-function #trigonometric-integrals
172
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Rate of Exponential Growth (2.s.f)

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#logarithms #exponential-function
110
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Prove $\frac{z^3}{|z|^3}$ does not exist when $z$ tends to $0$?

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#complex-analysis #exponential-function
326
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Exponential Equation with quadratic variable as an exponent

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#functions #exponential-function
879
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Integrating $e^x / (e^x - 2)$

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#calculus #integration #exponential-function
44
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Saying $\forall A \in SO(3) \implies \exists X \in \mathfrak{so}(3)$ such that $A = \mathrm{exp}(X)$

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#exponential-function #lie-groups #lie-algebras
119
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Inequality involving the exponential function

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#inequality #exponential-function
1.5k
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How to rearrange a radioactive decay equation y = mx +c

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#exponential-function
78
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Fourier Transform Question Help

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#exponential-function #fourier-transform
7.4k
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Looking for a decreasing function which initially decreases slowly and then decreases fast after a point

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#functions #exponential-function

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