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Show that $g(x)=x\ln{x}$ and $g(x)=e^x$ are bounded below.

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#functions #logarithms #exponential-function
163
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Limit of $\frac{e^{x}}{\ln(x)}$

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#limits #exponential-function
405
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prove $| \exp(x) - 1 - x - \frac{x^2}{2!} - \frac{x^3}{3!}| < \frac{e}{24}$

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#analysis #inequality #exponential-function
1.1k
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Derivative of exponential functions

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#derivatives #intuition #exponential-function
214
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Problem of the Week!

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#puzzle #exponential-function
387
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Solving a system of 4 non-linear equations

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#exponential-function #systems-of-equations
519
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How would I find the series generated by $e^x$ + $4x^2$? (exponential generating function)

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#discrete-mathematics #exponential-function #generating-functions
230
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How can I solve this infinite exponent tower?

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#calculus #exponential-function #power-towers
1.1k
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Map/Transform linear function to exponent

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#functions #exponential-function
247
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Derivative of exponential map on a Banach algebra

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#real-analysis #functional-analysis #analysis #operator-theory #exponential-function
310
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If the composition function $g(f(x))$ is differentiable, is $f(x)$ differentiable?

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#calculus #derivatives #exponential-function
71
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How to solve the system of equations?

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#algebra-precalculus #trigonometry #exponential-function #systems-of-equations
69
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System of two equations in three unknowns

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#algebra-precalculus #exponential-function #systems-of-equations
114
Views

Show that $\exp(x)-\frac{1+\frac{x}{2}}{1-\frac{x}{2}} = O(x^3)$

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#numerical-methods #exponential-function #approximation #pade-approximation
130
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Scientific notation doesn't make sense?

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#notation #exponential-function #number-systems

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