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Reasons for Taylor Series Convergence

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#taylor-expansion
62
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Limit development for $f(x)=\frac{x}{\arctan(x^{2})}-\frac{1}{x}$.

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#real-analysis #taylor-expansion
743
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to find coefficient of $x^{7}$ in Taylor series expansion of arcsin(x)

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#taylor-expansion
45
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Maclaurin for $\frac{x}{x^4+x^2+1}$

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#taylor-expansion
61
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roots of holomorphic functions

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#complex-analysis #taylor-expansion
44
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Differentiating and equation that contains an unknown $y$?

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#ordinary-differential-equations #taylor-expansion
52
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Error term in Taylor approximations of $\sin$ and other series with zero derivatives of higher order

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#calculus #sequences-and-series #asymptotics #taylor-expansion
245
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Finding the Jacobian of Taylor series of a vector valued function

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#taylor-expansion #vector-analysis #tensors #jacobian
940
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Could these polynomials be identified?

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#polynomials #asymptotics #taylor-expansion #approximation
155
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Function - Analytic or not? (A General Approach)

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#real-analysis #taylor-expansion #analyticity
222
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Struggling to find upper bound on Lagrange error

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#calculus #sequences-and-series #taylor-expansion
966
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why does polynomial fit work much better for only positive or only negative values of the dependent variable?

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#polynomials #taylor-expansion
37
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Show the following inequality holds (with Taylor Approximation)

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#multivariable-calculus #taylor-expansion #gradient-descent
260
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Taylor expansion of $\exp(-x)$: proof tail is positive

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#sequences-and-series #taylor-expansion
70
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An approximation of $\sqrt{1 + x}$ or $\sqrt{x}$ with connections to combinatorics or random walk?

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#combinatorics #taylor-expansion #approximation #random-walk

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