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15
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Solving $\int_0^1\frac{\ln(x+1)}{x^2+1}dx$ using Taylor series

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#definite-integrals #taylor-expansion
42
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$ \sin(x) \simeq \tan(x) $ when $ x \rightarrow 0 $ - Maclaurin series

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#trigonometry #taylor-expansion #education
973
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Newton's method derivation and gradient descent.

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#optimization #taylor-expansion #numerical-optimization #gradient-descent #newton-raphson
79
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In multivariate Taylor expansion formula, what is meant by $(x-a)^k$?

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#multivariable-calculus #taylor-expansion
59
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Prove that $ e^x>2\cdot\left(e^x-\sum_{n=0}^{100}\frac{x^n}{n!}\right) $

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#real-analysis #calculus #taylor-expansion #exponential-function
40
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Taylor series problem!

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#power-series #taylor-expansion
228
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Splitting the Taylor series of $e^x$ into different residues $\operatorname{mod} n$

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#calculus #taylor-expansion #exponential-function #hyperbolic-functions
242
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Maclaurin series and general term for $e^{(x-2)^2}$

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#calculus #sequences-and-series #taylor-expansion #sequence-of-function
584
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Approximate the value using Taylor series

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#calculus #taylor-expansion #approximation
29
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Determine the specific value of the division of two factorial series

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#limits #summation #power-series #taylor-expansion #euler-maclaurin
38
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What is the power series of the given Maclaurin series

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#power-series #taylor-expansion
108
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Taylor Expansion with matrices

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#matrices #taylor-expansion
63
Views

Evaluate $\lim_{x\to1}\frac{e^x-ex}{(x-1)^2}$ using Taylor's series

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#sequences-and-series #limits #taylor-expansion
18
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Find the power series from the given maclaurin sequence

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#summation #power-series #taylor-expansion
35
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Rates of convergence of two related Taylor series

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#sequences-and-series #convergence-divergence #taylor-expansion

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