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Difference between Taylor Series and Formal Taylor Series

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#soft-question #taylor-expansion
109
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Find Laguerre polynomials using Taylor series

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#polynomials #taylor-expansion
224
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Taylor series: criteria for maximum error attained at boundary?

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#calculus #sequences-and-series #power-series #taylor-expansion
55
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Proof Verification- $f$ is positive on $(0,\infty)$

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#real-analysis #taylor-expansion
331
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Trying to show 9 point laplacian equivalence

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#numerical-methods #taylor-expansion #laplacian
169
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Is $1-\cos^2(x)$ a greater infinitesimal than $\sin^3(x)$ as $\to 0+$?

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#taylor-expansion #infinitesimals
224
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Question about limits, derivative definition

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#limits #derivatives #taylor-expansion
37
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Taylor polynomials with error

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#polynomials #taylor-expansion
769
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Show the matrix exponential for second-order system is equal to the product of 2 series.

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#sequences-and-series #taylor-expansion #exponential-function
53
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Taylor polynomials with error to approximate

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#calculus #taylor-expansion #approximation
232
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Using Taylor to prove an inequality.

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#calculus #proof-verification #taylor-expansion
81
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Question about if manipulating is Taylor series justified?

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#real-analysis #taylor-expansion
151
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Error when using $n$th Taylor polynomial to approximate a function at $x=a$

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#calculus #power-series #taylor-expansion
61
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If $ϕ(h) = L − c_1h − c_2h^2 − c_3h^3 −$ ···, then what combination of ϕ(h) and ϕ(h/2) should give an accurate estimate of L?

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#numerical-methods #taylor-expansion #combinations
230
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One-sided/Central difference formula and error term

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#numerical-methods #taylor-expansion

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