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Is this claim valid as a proof?

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#functions #taylor-expansion #solution-verification
31
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Error estimation for a multivariable Taylorpolynomial

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#calculus #multivariable-calculus #taylor-expansion
64
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Numerical error analysis of ODE

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#numerical-methods #taylor-expansion
73
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Evaluate $1-x+x^2-x^3+\cdots$

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#real-analysis #sequences-and-series #taylor-expansion
38
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Find a closed form of this power series f(x).

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#power-series #taylor-expansion
147
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Series expansion of the absolute value of complex variables

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#taylor-expansion #physics #nonlinear-system #linearization
3.1k
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Generalisation of $\log(1-x)$ expansion?

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#sequences-and-series #logarithms #power-series #taylor-expansion
1.2k
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Find the Taylor series for $f(z)=e^z$ about $z_0=1+i$.

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#complex-analysis #complex-numbers #taylor-expansion
108
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Taylor's Theorem for functions of one variable

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#calculus #taylor-expansion
383
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Is there a formula for the constants of the Taylor Series of the inverse of a function.

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#real-analysis #calculus #taylor-expansion #inverse-function
1.2k
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Find the Taylor series for $f(z)=\frac{i}{(z-i)(z-2i)}$ about $z_0=0$.

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#complex-analysis #complex-numbers #taylor-expansion
50
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How to prove that function has infinite series?

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#calculus #taylor-expansion
124
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Stuck with integrals

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#integration #sequences-and-series #power-series #taylor-expansion
366
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Whitney extension theorem for Hölder spaces

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#reference-request #taylor-expansion #differential-topology #holder-spaces #smooth-functions
5.8k
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Is there any geometric intuition for the factorials in Taylor expansions?

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#real-analysis #calculus #derivatives #polynomials #taylor-expansion

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