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How to use maclaruin series of arctanx to calculate $\pi/4$ with 0,01 error?

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#analysis #taylor-expansion #error-function
160
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Find series expansion of $\log^{\alpha}(1-x)$

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#calculus #real-analysis #sequences-and-series #taylor-expansion
717
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Question on Taylor Polynomials

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#definite-integrals #taylor-expansion
40
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calculating taylor series and investigating a statement

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#calculus #taylor-expansion
242
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Taylor series of function around specific value

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#taylor-expansion #approximation
385
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Taylor series expansion in interval?

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#logarithms #taylor-expansion #interval-arithmetic
176
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A fact on C1 functions

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#derivatives #taylor-expansion
14.5k
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Taylor-approximation of square root

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#calculus #taylor-expansion #approximation
236
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Taylor series expansion of $(x^2-x)\ln(1-x)$ and calculating a sum

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#calculus #sequences-and-series #taylor-expansion #closed-form
540
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Taylor expansion of a matrix to scalar function

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#calculus #linear-algebra #matrices #taylor-expansion #matrix-calculus
113
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0th order accuracy central difference?

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#calculus #numerical-methods #taylor-expansion
77
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Is there a simple series representation for following sequence?

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#sequences-and-series #numerical-methods #power-series #taylor-expansion
620
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Why the first Nth term of Taylor series can have different centre from the N+1 term?

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#sequences-and-series #taylor-expansion
62
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help determining $a,b$ such that limit will exist and calculating it

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#calculus #limits #taylor-expansion
2.7k
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Finding Maclaurin series for a fraction

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#taylor-expansion

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