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Taylor series expansion and Laplace transform final value theorem

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#asymptotics #taylor-expansion #laplace-transform
398
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What is the bound on the error that is given by Taylor's inequality?

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#taylor-expansion
127
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$f$ differentiable and $f(0)=f(1)=0$. , prove that $|f'(x)| \le \frac{A}{2}$ $\forall x \in [0,1]$

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#calculus #taylor-expansion
1.1k
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Showing that if the $n$th derivative of a function is bounded then it is real analytic

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#real-analysis #analysis #power-series #taylor-expansion
5.2k
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Gradient decent using Taylor Series

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#taylor-expansion #first-order-logic #descent
42
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Taylor's remainder in a compact

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#taylor-expansion #approximation #interpolation
3.1k
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Use Taylor Series method to solve $y''-2xy+y=0$

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#ordinary-differential-equations #power-series #taylor-expansion
85
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Maclaurin series for $\frac{1}{|1+x|}$

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#calculus #continuity #taylor-expansion #absolute-value
161
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Estimating the remainder for Mac Laurin's series

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#taylor-expansion #estimation
737
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Closed-forms of infinite series with factorial in the denominator

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#calculus #sequences-and-series #taylor-expansion #factorial #closed-form
613
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Differentiability of the remainder in Taylor's theorem

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#calculus #real-analysis #taylor-expansion
978
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How can I accurately compute $\sqrt{x + 2} −\sqrt{x}$ when $x$ is large?

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#calculus #numerical-methods #taylor-expansion
1.3k
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How is the formal inverse of a power series with constant term developed ( for instance $\cosh^{-1}(x)$)?

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#sequences-and-series #complex-analysis #taylor-expansion
65
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Series representation of function with fractions, logarithms, squares and cosines.

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#sequences-and-series #derivatives #taylor-expansion
397
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Exponential of a power of the differential operator

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#ordinary-differential-equations #differential-geometry #taylor-expansion #lie-algebras #exponentiation

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