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Show that Local Truncation Error is not $O(h^3)$ for any choice of constants

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#numerical-methods #taylor-expansion #partial-derivative #finite-differences #truncation-error
2.5k
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Calculate $\sin(0.2)$ to 4 decimal places with its Taylor series and the Lagrange error bound

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#calculus #taylor-expansion
62
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Taylor polynomial related series

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#calculus #sequences-and-series #power-series #taylor-expansion
61
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Getting $f(x) =\sum_{n=2}^{\infty} \dfrac{x^n}{n(n-1)}$, $|x|<1$.

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#calculus #taylor-expansion
294
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Estimate of the remainder term of a complex exponential

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#complex-analysis #inequality #taylor-expansion
3.2k
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write Taylor series for the function f(z)=1/z centered at z=i

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#complex-analysis #taylor-expansion
63
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Taylor series expression of the function.

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#real-analysis #taylor-expansion
208
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range of convergence of taylor approximation for $\frac{1}{1-x}$

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#calculus #convergence-divergence #taylor-expansion
155
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Taylor expansion for the exponential series

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#derivatives #taylor-expansion #exponential-function
63
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A question on the approximation of $\ln(x!)$ for small x

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#taylor-expansion #factorial #riemann-zeta
60
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Proof of Polynomial Statement using Taylor Polynomials

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#calculus #polynomials #taylor-expansion
712
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Maclaurin expansion of $\arctan(x)/(1 − x).$

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#real-analysis #calculus #sequences-and-series #analysis #taylor-expansion
196
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Taylor series of a complex Gaussian function

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#complex-analysis #taylor-expansion
65
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Different ways of deriving the Taylor-Maclaurin series of $\sqrt{1-x}$

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#real-analysis #calculus #sequences-and-series #analysis #taylor-expansion
1.5k
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Why is the error of $O(h^2)$ when using Taylor expansion and centered approximation for the first derivative

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#derivatives #taylor-expansion #finite-differences #rounding-error

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