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Show that taylor expansion

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#multivariable-calculus #taylor-expansion
62
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Calculate limits with Taylor

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#limits #taylor-expansion
139
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Constructing an odd trigonometric function with no 1st-order term in Taylor expansion

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#algebra-precalculus #functions #trigonometry #taylor-expansion
303
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Is there a way to compute the exponential of a PDP-1 matrix?

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#linear-algebra #taylor-expansion #exponential-function #matrix-exponential
255
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How can I prove $\frac {d}{dx} {x^n} = n x^{n-1}$ for $ n \in \Bbb R$ without circular reasoning?

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#calculus #limits #taylor-expansion #binomial-theorem
50
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Write the Taylor expansion of order $2$ at $x=0$ of $h(x)=g^{-1}(x+\sin(x))$, for $g(x)=x\ln(2+x^2)$

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#real-analysis #taylor-expansion #inverse-function
368
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Taylor/Maclaurin Series vs Taylor/Maclaurin Polynomial

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#calculus #sequences-and-series #taylor-expansion
376
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How to prove the variance of a function g(X) of the random variable X is given by $var[g(X)]\approx\{\frac{dg(X)}{dX}\}^2var(X)$

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#statistics #taylor-expansion #variance
431
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Perturbation expansion within trig function

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#ordinary-differential-equations #trigonometry #taylor-expansion #perturbation-theory
586
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Applying the induction hypothesis indirectly? I have trouble understanding this proof.

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#real-analysis #calculus #induction #taylor-expansion
181
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$\cos x + \cos 2x = 1$. Maclaurin series.

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#sequences-and-series #taylor-expansion
1.9k
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Finding Taylor series for a complex logarithm branch

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#complex-analysis #complex-numbers #taylor-expansion
807
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Small-Angle Approximation for Cosine

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#taylor-expansion #approximation
50
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Multinomials for negative integer powers.

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#reference-request #power-series #taylor-expansion #multinomial-coefficients
53
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Multivariable Calculus - Approximation

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#multivariable-calculus #taylor-expansion

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