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Rational series representation of $e^\pi$

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#sequences-and-series #exponential-function #approximation #closed-form #pi
862
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Limit of the Exponential Integral

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#integration #limits #exponential-function
1.3k
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If $f(z)$ is meromorphic but not entire, is $\exp(f(z))$ meromorphic? Could it even be entire?

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#complex-analysis #exponential-function #analyticity #singularity-theory
134
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how do you solve exponential equations with added bases

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#exponential-function
354
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A circle centered at the origin is tangent to $y=2^x$. What is the radius of the circle?

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#calculus #derivatives #exponential-function #circles
417
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What is the Inverse function of $y = 10^{-x}$? Steps are appreciated.

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#functions #logarithms #exponential-function #inverse
356
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Solving an exponential equation with absolute value

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#algebra-precalculus #inequality #exponential-function
230
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Derivative of the inverse of exponential function a^x, with a>0 and a≠1

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#derivatives #logarithms #exponential-function #inverse-function
132
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Proof of the inequality $e^x \le x+ e^{x^2}$

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#inequality #exponential-function
85
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Tangent line Exercise. $f (x) = 5e^{−(x−2)^2}$ . Find the coordinates of points where the hill is the most steep.

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#optimization #exponential-function
2.2k
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How much of radioactive material substance will remain after $5$ days?

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#exponential-function
21k
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I've shown $\lim_{n\to\infty}\sqrt[n]{n}=e$, but it should be $1$. Where's the mistake?

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#sequences-and-series #algebra-precalculus #limits #exponential-function #radicals
136
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How do I show that $-\frac{1}{e^x + 1} + 1 = \frac{e^x}{e^x + 1}$?

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#algebra-precalculus #exponential-function #fractions
56
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finding the probability of not being answered more than two calls!

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#probability #statistics #random-variables #exponential-function
148
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Money problem...probability spend in particular time

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#probability #statistics #random-variables #exponential-function #central-limit-theorem

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