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series expansion of complex expression and its $n$ th derivatives

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#calculus #taylor-expansion
71
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When do you need to convert function into Taylor/Mac?

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#calculus #sequences-and-series #taylor-expansion
73
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Finding a square integrable dominating function

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#functional-analysis #probability-theory #asymptotics #taylor-expansion #lp-spaces
322
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Find the Taylor polynomial of degree n

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#calculus #taylor-expansion
52
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For $f(I\setminus\{0\})=\left (\frac{(1+h(x))^{1/h(x)}}{e}\right)^{1/x}$ find $\lim_{x \to 0}f(x) = \sqrt{1/e^{h'(0)}}$

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#real-analysis #calculus #taylor-expansion
1k
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Find the roots of a 6th order Taylor polynomial

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#calculus #polynomials #taylor-expansion #roots
210
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Explanation on a proof of a lemma on the Adams-Bashforth method

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#ordinary-differential-equations #numerical-methods #proof-explanation #taylor-expansion
347
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prove jensen's inequality using taylor's series, why is zeta different than mu?

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#probability #taylor-expansion
63
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Prove that $\lim_{x\to\infty} x f'(x) = 0$

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#real-analysis #functions #derivatives #taylor-expansion
85
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Series equal to e

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#sequences-and-series #taylor-expansion #exponential-function #motivation
31
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Question about Taylor expansion and l'Hopital under multivariate case

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#real-analysis #limits #multivariable-calculus #taylor-expansion
89
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Remainder of Taylor Expansion of a smooth function

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#real-analysis #taylor-expansion
138
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Taylor series method for differential equations

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#ordinary-differential-equations #derivatives #taylor-expansion #partial-derivative
57
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Can the Taylor expansion be used to find the limit of the sequence?

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#calculus #limits #taylor-expansion
211
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Calculating the infinite sum ${1\over 1^3} - {1\over 3^3} + {1\over 5^3} + ...$

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#calculus #sequences-and-series #algebra-precalculus #taylor-expansion

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