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Evaluate limit of $\lim_{x\to 1} \frac{e^{(n!)^x}-e^{n!}}{x-1}$

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#exponential-function #limits-without-lhopital
49
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Polynomial-Exponential Equation

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#real-analysis #sequences-and-series #polynomials #exponential-function
208
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Is this a typo on MIT OCW 18.01, problem set 2, 1H 1.b)?

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#calculus #exponential-function
104
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Polynomial-Exponential Inequality

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#real-analysis #sequences-and-series #polynomials #exponential-function
42
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Integration by parts. Push It to the Limit

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#integration #derivatives #exponential-function #differential-operators
152
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Normalizing Matrix wrt Exponential

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#functions #exponential-function #optimal-transport
60
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Pseudoinverse of a matrix with columns of exponential decays

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#linear-algebra #matrices #exponential-function #pseudoinverse
58
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A question about dimension on exponential terms

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#integration #exponential-function #unit-of-measure
21
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one function for 3 scenarios

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#functions #exponential-function #mathematical-modeling
61
Views

How fast does the function $f(x) = \prod_{n=1}^\infty \sqrt[\displaystyle{2^n}]{x+2^{n-1}}$ grow in $x$?

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#logarithms #asymptotics #exponential-function #roots #products
253
Views

Solution of $x^{x^x}=3$

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#real-analysis #numerical-methods #exponential-function #problem-solving
87
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Inequality involving difference of a power of 2 and 1

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#inequality #induction #exponential-function #a.m.-g.m.-inequality
134
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What does exponential function have in common with area under $y=\frac{1}{x}$?

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#geometry #exponential-function #hyperbolic-geometry #hyperbolic-functions
58
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Are Quasi-Polynomial Time Functions Regularly Varying?

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#calculus #limits #logarithms #exponential-function #slowly-varying-functions
178
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Find solution set of $\dfrac{8^x+27^x}{12^x+18^x}=\dfrac{14}{12}$

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#algebra-precalculus #exponential-function #roots

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