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Multi part problem to prove functional relation of the exponential function

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#real-analysis #sequences-and-series #complex-analysis #exponential-function
719
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How does the complex exponential function transform the unit circle?

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#complex-analysis #complex-numbers #exponential-function
238
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$0^0$ -- indeterminate, or $1$?

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#real-analysis #exponential-function
194
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for $n$ an integer, why is $n^0=1$ ??

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#algebra-precalculus #continuity #exponentiation #exponential-function #absolute-value
70
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$|x|^{|x|}$ is continuous in $\mathbb{R}$

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#continuity #exponentiation #exponential-function #absolute-value
3.4k
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(Basic High School Mathematics) Graphing the inverse square law

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#algebra-precalculus #graphing-functions #exponential-function
41
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Calculus Exponential Functions Again

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#calculus #exponential-function
413
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When does this non linear 2 equation system have solutions? What is the solution?

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#exponential-function #systems-of-equations #nonlinear-system
995
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Analytical aptitude - Division of exponentials.

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#exponential-function
454
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Prove $\sum_{n=1}^\infty(e-\sum_{k=0}^n\frac1{k!})=1$

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#summation #recreational-mathematics #exponential-function #factorial
7.1k
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Exponential Growth Problem. Is this solution correct?

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#algebra-precalculus #proof-verification #exponential-function
837
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Relation/connection between $n!$ or $e$ and $2^n$

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#soft-question #exponential-function #factorial
5.4k
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Proving that the exponential function is bijective

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#real-analysis #exponential-function
94.7k
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"Linearize" an exponential-looking graph with log function

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#logarithms #graphing-functions #exponential-function
459
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Prove logarithm rules using definition as the inverse exponential

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#real-analysis #exponential-function

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