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Finding the 5th order taylor polynomial of a function without brute force

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#calculus #taylor-expansion #approximation
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Solution to the equation $f((1+x)^n-1) = nf(x)$

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#power-series #taylor-expansion
234
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Taylor expansion where the center is function of the point being evaluated.

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#real-analysis #taylor-expansion
156
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Evaluate the series $\sum_{n=0}^{\infty} \frac{n^2-1}{n!}\frac{x^n}{n-1}$

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#calculus #sequences-and-series #taylor-expansion
91
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What is the Laurent expansion of $f(z)=\frac{1}{(z-1)(z-2)(z-3)}$ for $1<|z|<2$

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#power-series #taylor-expansion #laurent-series
100
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What is the n and n+1 (lagrange) term for a taylor series?

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#polynomials #taylor-expansion
105
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Limit calculation with Taylor series

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#taylor-expansion #limits-without-lhopital
42
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Basic question about Taylor convergence with polynomial functions

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#calculus #taylor-expansion
68
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Differentiating this sum

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#calculus #real-analysis #taylor-expansion
70
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Derivative approximation

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#derivatives #taylor-expansion #approximation
243
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Finding Limit with Taylor series

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#limits #taylor-expansion #limits-without-lhopital
1.1k
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Maclaurin series of $f(g(x))$

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#taylor-expansion #euler-maclaurin
328
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Which function has the following Taylor series?

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#calculus #taylor-expansion
75
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Find Taylor Polynomial of $ f(x)=x^2\ln(1-x^3) $ on $a=0$

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#taylor-expansion
30
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Problem based on Maclaurin's expansion.

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#limits #taylor-expansion

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