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Finding a Taylor series for $f(x)=(x^{2}+2x)e^x$?

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#sequences-and-series #taylor-expansion
200
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Is $1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}-\cdots=\ln 2$ true?

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#sequences-and-series #logarithms #power-series #taylor-expansion
282
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Taylor Series Error Bound

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#calculus #numerical-methods #taylor-expansion #error-function
109
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Two unusual approximations in right triangle trigonometry

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#calculus #trigonometry #taylor-expansion #approximation #approximation-theory
53
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2nd-order taylor series of function of vector

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#matrices #taylor-expansion #matrix-calculus
539
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Binomial Expansion negative power with complex numbers

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#complex-analysis #convergence-divergence #taylor-expansion #binomial-theorem
56
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How to asymptotically approximate the integral $\int_{t_{1}}^{t_{2}} H(t)F(t) dt$?

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#real-analysis #integration #asymptotics #taylor-expansion #approximate-integration
15.6k
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Dividing an infinite power series by another infinite power series

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#taylor-expansion #rational-functions
5.1k
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Use degree 2 Taylor Polynomial to estimate value.

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#calculus #taylor-expansion
1.1k
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Finding the 6th Derivative of a function of $\sin(x)$

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#calculus #sequences-and-series #derivatives #taylor-expansion
1.6k
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Derivation of Jensens Inequality with Taylor Series

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#probability #proof-verification #taylor-expansion
188
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Power series of "the" geometric series without using derivatives

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#real-analysis #power-series #taylor-expansion
130
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Exponential of a sum comparing to a sum of exponentials (2 variables)

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#taylor-expansion #exponential-function #maxima-minima
513
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Resolving the Taylor series with fundamental theorem/definition of derivative - what's wrong with my logic?

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#calculus #integration #derivatives #taylor-expansion #approximation
361
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Does convergence to $f(x)$ of Taylor series centered in $x_0$ in a interval $I$ imply that $f(x)$ is analytic in all $I$?

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#calculus #sequences-and-series #power-series #taylor-expansion #analyticity

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