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Constructing a function satisfying two limits

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#limits #functions #exponential-function
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Prove Inequality $(1 - 1/t)^k \le \exp(-k/t)$

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#inequality #exponential-function
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Unlikely equation involving combinations

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#combinatorics #limits #exponential-function
153
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directional derivative of $f(x,y,z) = e^{xyz}, v = (1,1,-1)$ through differential quotient (aka no Jacobian)

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#limits #exponential-function #partial-derivative #vector-analysis
129
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No. of solutions of $x^a = a^x$

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#calculus #functions #derivatives #logarithms #exponential-function
72
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Properties of groups with integer exponents

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#group-theory #exponential-function #binary-operations #inverse-semigroups
114
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sum for two power of trigonometric functions

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#trigonometry #binomial-coefficients #exponential-function #exponential-sum
729
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Find the value of $m+n+p$ if $a^{\frac{1}{m}}= b^{\frac{1}{n}} = c^{\frac{1}{p}}$ and $abc = 1$

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#algebra-precalculus #exponential-function #systems-of-equations #substitution
168
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What is $\sum_{k=0}^\infty \frac{k^nz^k}{k!}$?

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#taylor-expansion #exponential-function
128
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(Verification)$\lim\limits_{x\to 0}{e^x-e^{-x} \over 1- \cos x} =2$

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#calculus #limits #proof-verification #exponential-function #limits-without-lhopital
97
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How to calculate $\int _0^{\infty }\frac{1}{e^x+e^{-x}}\, dx\ ?$

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#calculus #improper-integrals #exponential-function
276
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Solving "ugly" equations

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#exponential-function #systems-of-equations #lambert-w
57
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Multiple draws from distribution with non-continuous density

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#probability-distributions #exponential-function #exponential-distribution
41
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Are exponentials with jointly prime bases linearly independent?

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#elementary-number-theory #exponential-function
82
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Exponential equation problem

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#exponential-function

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