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The inequality $b^n - a^n < (b - a)nb^{n-1}$

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#algebra-precalculus #inequality #exponentiation
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Find out monthly growth based on yearly growth

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#exponentiation #finance
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How to find complex numbers $z,\lambda,\mu$ such that $(z^\lambda)^\mu\neq z^{\lambda\mu}$

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#complex-numbers #exponentiation
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11th grade level exponential growth problem?

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#algebra-precalculus #exponentiation #mathematical-modeling
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How does $\exp(x+y) = \exp(x)\exp(y)$ imply $\exp(x) = [\exp(1)]^x$?

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#calculus #exponential-function #exponentiation #functional-equations
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Prove that $n! > \sqrt{n^n}, n \geq 3$

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#inequality #exponentiation #factorial #radicals
114
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How to show $\sum_{k \geq 2} \frac{(-x)^k}{k!} \geq 0$ for large x

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#calculus #power-series #exponentiation
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Infinite tetration, convergence radius

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#real-analysis #convergence-divergence #exponentiation #tetration
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Notation of inverse trigonometric functions and exponentiation

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#trigonometry #notation #exponentiation
155
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The power of a power

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#exponentiation
203
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Mathematical function for the powers

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#notation #exponentiation #tetration
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Simple question about powers and radicals

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#algebra-precalculus #exponentiation #radicals
621
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Is there a reasonable generalization of the falling factorial for real exponents?

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#exponentiation #finite-differences
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Growth of exponential functions vs. Polynomial

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#exponentiation
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Negative even exponents of negative numbers

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#exponentiation

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