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Why $\lim_{n \to \infty}(1-1/n)^n = e^{-1}$?

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#real-analysis #limits #exponential-function #calculus
62
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Finding an exponential model $ f ( x ) = a ( b ) ^ x $ satisfying $ f ( 2 ) = 3 $ and $ f ( 5 ) = 54 $

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#algebra-precalculus #functions #exponential-function
44
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Exponential modelling with given points

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#algebra-precalculus #functions #logarithms #exponential-function
2.1k
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lower bounding exponential functions

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#exponential-function #upper-lower-bounds
1.5k
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finding an equation for a exponential function

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#algebra-precalculus #functions #exponential-function #graphing-functions
101
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How to solve for t in exponential function

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#exponential-function
95
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Why does index change in this specific sort of sum: $\sum\limits_{m=0}^{\infty} \frac{mx^m}{m!}=x\sum\limits_{m=1}^{\infty}\frac{x^{m-1}}{(m-1)!}$?

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#sequences-and-series #exponential-function
278
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Proof of the limit of $ c^x/(c+n)^x$, as $x$ tends to infinity

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#calculus #limits #exponential-function #exponentiation
936
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general rule for x raised to any exponent y

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#exponential-function
177
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Is it possible to to solve algebraically: $e^z=z$?

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#complex-numbers #exponential-function
435
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Number of Real solutions of $e^{x^2}=ex$

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#calculus #real-analysis #algebra-precalculus #derivatives #exponential-function
49
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Having some issue with finding t for the following exponential equation

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#calculus #linear-algebra #exponential-function
1k
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simplify each expression, write the answer using positive exponents

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#algebra-precalculus #exponential-function #exponentiation
44
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Show that there is an analytic $g: U \rightarrow \mathbb{C}$ such that $f = e^g$ when $f$ is nonzero and analytic.

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#complex-analysis #exponential-function
3.4k
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Can hyperbolic functions be defined in terms of trigonometric functions?

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#trigonometry #exponential-function #hyperbolic-functions

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