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The most complex formula for the golden ratio $\varphi$ that I have ever seen. How was it achieved?

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#exponential-function #pi #continued-fractions #golden-ratio #ramanujan-summation
104
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Find the limit of $a_n=\left(\frac{n-4}{n}\right)^{1-n}$

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#sequences-and-series #convergence-divergence #exponential-function
134
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Find the preimage of a square in the complex plane.

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#complex-analysis #exponential-function
407
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Why is the exponential function I'm attempting to graph returning a stopping point?

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#functions #exponential-function #graphing-functions
36
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Radius of convergence of $\sum_{n=0}^\infty \frac{z^n}{e^{an}+1}, a \in \mathbb{C}$

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#complex-analysis #power-series #exponential-function
502
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How can I prove this inequality with powers of radicals?

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#exponential-function #roots
61
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How do I solve this equation for $t$?

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#algebra-precalculus #exponential-function
33
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Simpiflying Exponential Expressions

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#exponential-function #exponentiation
82
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Find the decreasing range of the function: $f(x)=xe^{\sin x}$

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#calculus #trigonometry #derivatives #inequality #exponential-function
56
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Exponential question

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#exponential-function #exponential-distribution
6.6k
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How do I interpret Euler's formula?

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#trigonometry #complex-numbers #exponential-function #definition
397
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Find the Cauchy product of $e^x$ and $e^{-x}$.

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#real-analysis #power-series #exponential-function #cauchy-product
267
Views

No possible Level Surface?

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#multivariable-calculus #exponential-function #3d
32
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Trying to solve for parameters in a logistic function

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#exponential-function
203
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Compute the limit $\lim_{x\to 0} \frac{2^x+5^x-4^x-3^x}{5^x+4^x-3^x-2^x}$

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#real-analysis #limits #exponential-function #fractions #limits-without-lhopital

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