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How to find number of solutions to $2^x=x^2$ without Graphing

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#algebra-precalculus #exponential-function #transcendental-numbers
2.6k
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Evaluating Nested Limits

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#calculus #limits #derivatives #exponential-function
450
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Showing the exponential sequence is strictly increasing

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#sequences-and-series #exponential-function
820
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Continued fraction of exponential function

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#real-analysis #exponential-function #continued-fractions
49
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Recalculating exponentially smoothed value with different smoothing parameters.

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#exponential-function
329
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Solve $t\, e^t=t+2$ for $t>0$.

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#exponential-function #lambert-w #transcendental-equations
692
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Graph of $(-1)^x$

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#functions #exponential-function #graphing-functions
1.1k
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Logarithm to any base of exponential data always linear?

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#logarithms #exponential-function
938
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Exponential equation to solve for $x:\;\;$ $2^{5x-7} \cdot 5^{2x-1} =10^{x+1}$

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#algebra-precalculus #logarithms #exponential-function
398
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Logarithmic and Exponential Graph Intersections

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#algebra-precalculus #logarithms #exponential-function
60
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Question about validity of the Maclaurin Series proof of Euler's identity

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#complex-analysis #taylor-expansion #exponential-function
545
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Find $\lim\limits_{n\to\infty}{n\left(\left(1+\frac{1}{n}\right)^n-e\right)}$

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#calculus #real-analysis #limits #logarithms #exponential-function
34
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Find the horizontal asymptote to the following function.

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#functions #asymptotics #exponential-function
62
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$\lim_{m \to \infty}{\prod_{i=0}^{tm-1}(1+\frac{r(i)}{m})} = e^{\int_{0}^{t} r(s)ds}$?

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#analysis #exponential-function
653
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How can I write exponential function with base other than e?

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#exponential-function

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