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principal value of improper integrals

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#improper-integrals #exponential-function #cauchy-principal-value
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Question referring to the exponential function defined as a limit of a sequence

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#real-analysis #sequences-and-series #exponential-function
582
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Homework solving exponential equation, logarithmic equation and exponential equation.

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#logarithms #exponential-function
542
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Find the power series representation for $ f(x) = \arctan (e^x) $ and its interval of convergence

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#calculus #sequences-and-series #convergence-divergence #power-series #exponential-function
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Radioactive Decay formula is $A=A_0e^{-kt}$. How many years until 10 grams decay so that only 8 remain

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#logarithms #exponential-function #exponentiation
70
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Exponential Proof

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#algebra-precalculus #exponential-function #hyperbolic-functions
222
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Initial values of a exponential decay

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#exponential-function #estimation
109
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How to Differentiate $x^7(7x+5)^6$

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#calculus #derivatives #exponential-function #products
548
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Asymptotics and little-o notation

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#asymptotics #exponential-function #taylor-expansion
39
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Simplifying Exponentials (Fourier)

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#exponential-function #roots-of-unity
2.2k
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Is $\lfloor n!/e\rfloor$ always even for $n\in\mathbb N$?

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#calculus #combinatorics #exponential-function #factorial #ceiling-and-floor-functions
88
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Sum of 10 years of compound interest on new principle each year with increasing rate

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#exponential-function #geometric-series
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Which of the following powers is bigger: $2^{41}$ or $3^{24}$?

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#arithmetic #exponential-function
2.4k
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Integration of $e^{-x}$ with respect to y

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#calculus #integration #exponential-function
91
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Solve the following inequalities

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#inequality #exponential-function

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