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Convergence of $\sum\ln(n\sin\frac{1}{n})$

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#calculus #real-analysis #sequences-and-series #taylor-expansion
82
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Using taylor expansion to show the negative of the gradient gives the most rapid decrease

Published on
#multivariable-calculus #derivatives #optimization #taylor-expansion
249
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Taylor series for tan x about the point 0

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#calculus #derivatives #taylor-expansion
523
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Showing $\pi$ is irrational using taylor's theorem

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#calculus #taylor-expansion #irrational-numbers #pi #rationality-testing
78
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Find the limit of $x(x + 1 - \sin(\frac{1}{1+x})^{-1})$ as $x \rightarrow \infty$

Published on
#real-analysis #limits #analysis #functions #taylor-expansion
126
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Approximate $\log(7)+\cos(1)$ with an error of less than $10^{-4}$

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#real-analysis #taylor-expansion #approximation
644
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Find the Taylor series of argtanh(x) using sinh(x) and cosh(x)

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#taylor-expansion #hyperbolic-functions
31
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How do you prove or disprove a 1:k correspondance between two series that converge to the same thing?

Published on
#functional-analysis #summation #taylor-expansion
31
Views

N-th Taylor Polynomial

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#sequences-and-series #taylor-expansion
280
Views

How to compute the summation of f(x) when the limits are in terms of y?

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#sequences-and-series #algebra-precalculus #multivariable-calculus #summation #taylor-expansion
227
Views

Find the linear taylor expansion for $f(x,y) = x\cos y + y\sin x$ and give a bound to the error

Published on
#real-analysis #multivariable-calculus #derivatives #taylor-expansion
103
Views

Similar uses of Taylor Series and Fourier Series

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#taylor-expansion #fourier-series
73
Views

Grasping the concept of Taylor Remainder Theorem

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#taylor-expansion
36
Views

Taylor in two variables: Can we know that two functions are different.

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#calculus #multivariable-calculus #taylor-expansion #partial-derivative
81
Views

Multidimensional complex Taylor expansion and real and imaginary part separation

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#complex-analysis #taylor-expansion

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