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Need help with a step from exponential functions using graphs.

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#exponential-function
321
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Prove that $(\frac{bc+ac+ab}{a+b+c})^{a+b+c} \geq \sqrt{(bc)^a(ac)^b(ab)^c}$

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#inequality #exponential-function #contest-math #a.m.-g.m.-inequality #jensen-inequality
44
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Simplifying an exponential expression

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#exponential-function #exponentiation
377
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Proving $\lim \limits_{n\to +\infty } \left(1+\frac{x}{n}\right)^n=\text{e}^x$

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#calculus #analysis #limits #exponential-function
60
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Help with the integral of e

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#integration #exponential-function
286
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Solving this integral involving Ei function?

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#integration #exponential-function
44
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Math question - specifying the range of ln

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#ordinary-differential-equations #exponential-function
656
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$e + τ$ is irrational proof check

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#complex-numbers #exponential-function #irrational-numbers #fake-proofs
159
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Connecting points with a spline based on a logarithmic spiral

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#trigonometry #exponential-function #systems-of-equations #spline
315
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Solve for x in the following equation

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#exponential-function
62
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Show that $e^n>\frac{(n+1)^n}{n!}$

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#sequences-and-series #inequality #exponential-function
271
Views

How can I solve the following equation analytically for t: $t=a(e^t+b)$?

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#exponential-function #nonlinear-system
360
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Why does $\lim_{n\to\infty}(1+\frac{1}{n})^n = e$ instead of $1$?

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#calculus #sequences-and-series #limits #exponential-function
248
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When will $1$ dollar equal $1$ yen?

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#calculus #exponential-function
82
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Solve for $x$ (both 2 values as plotted on graph):

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#algebra-precalculus #exponential-function #roots #lambert-w

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