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Exponential decay + a recurrence relation

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#algebra-precalculus #recurrence-relations #exponential-function
125
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I can't complete the integration of $e^{\sqrt{x}}$

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#integration #exponential-function
244
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Prove $e^x - e^y \leq e |x-y|$ for $x$ belonging to $[0,1]$

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#calculus #inequality #exponential-function
32
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Determining bounds for a sum with nested infinite series

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#functions #convergence-divergence #asymptotics #exponential-function #computational-complexity
8.1k
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Please explain how to do this, base e

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#exponential-function
75
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Calculate: $f(a)=\int\limits_{-\infty}^{\infty} \exp(-|x|^a)\mathrm{d}x$

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#integration #exponential-function
183
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How can I prove this inequality involving the exponential function?

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#analysis #exponential-function
38
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Integrate this expression containing exponential

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#calculus #integration #exponential-function
7.1k
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Proving that the exponential function is continuous

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#analysis #exponential-function
720
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Proofing that the exponential function is continuous in every $x_{0}$

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#analysis #exponential-function
75
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How can I get the expression of x?

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#numerical-methods #exponential-function #inverse-function
86
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how so simplify this exponential equations

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#exponential-function
323
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Is it valid to write $1 = \lim_{x \rightarrow 0} \frac{e^x-1}{x} = \frac{\lim_{x \rightarrow 0} (e^x) -1}{\lim_{x \rightarrow 0} x}$?

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#limits #exponential-function
235
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Proving $\pi \gt e+\frac{1}{e} \gt \pi-\frac{1}{\pi} \gt e$

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#inequality #exponential-function #alternative-proof #pi
99
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Ways to squeeze $e$ by hand

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#algebra-precalculus #inequality #exponential-function #recreational-mathematics

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