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Estimating $n!$ as $e \left(\frac ne \right)^n \le n! \le ne \left(\frac ne \right)^n$

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#real-analysis #inequality #exponential-function #factorial
181
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Make a formula based on a data table (Exponential function)

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#exponential-function
43
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Find base of exp function within the range of summation

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#summation #exponential-function
51
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Rewriting $n(2^{2^{n-1}}-1)-2^{2^n}+2^{2^{n-1}+1}$

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#calculus #exponential-function
653
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How to show $\frac{19}{7}<e$

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#inequality #summation #exponential-function
408
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Find the half life using exponential expression

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#algebra-precalculus #exponential-function
3.8k
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How long will it take the number of bacteria to double?

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#exponential-function
156
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Prove inequality with $e^x$ and $\ln$ on the same side

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#inequality #logarithms #exponential-function #euclidean-geometry #triangles
370
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Solving for a negative exponent

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#algebra-precalculus #exponential-function
1.1k
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Is there any nice explanation of why the complex exponential function has no roots in the complex plane?

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#complex-analysis #polynomials #exponential-function #roots
1.7k
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How to Find $ \lim\limits_{x\to 0} \left(\frac {\tan x }{x} \right)^{\frac{1}{x^2}}$.

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#real-analysis #limits #trigonometry #exponential-function #limits-without-lhopital
727
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Exponential Fundamental Limits without using L'Hôspital's rule

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#calculus #limits #exponential-function
116
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How do you solve x^2 = log^2(x)

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#functions #exponential-function #lambert-w
142
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Integral of third order polynomial exponential

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#exponential-function
445
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Finding limit without using limit

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#sequences-and-series #limits #functions #exponential-function

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