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Power-series
New post in Power-series
Prove $\sum_0^\infty x^k/k!$ does not converge uniformly to $e^x$ on the entire real line R.
August 1st, 2022
real-analysis
power-series
sequences-and-series
uniform-convergence
Determine the first three non-zero terms in the Taylor polynomial approximation for the initial value problem: $y''+\sin(y)=0$
August 1st, 2022
ordinary-differential-equations
taylor-expansion
power-series
Solution of $y''+e^xy=0$ is unbounded as $x\to\infty$
December 11th, 2020
power-series
ordinary-differential-equations
Solving $y'' - xy'+(3x-2)y=0$ using power series
January 27th, 2020
ordinary-differential-equations
power-series
Can there be more than one power series expansion for a function.
August 1st, 2022
sequences-and-series
algebra-precalculus
power-series
calculus
integration
Prove sum of $\cos(\pi/11)+\cos(3\pi/11)+...+\cos(9\pi/11)=1/2$ using Euler's formula
August 1st, 2022
trigonometry
power-series
find a power series for $f(x)=\ln(x^2+1)$.
March 30th, 2020
power-series
calculus
Taylor series for exp(exp(x)) using just the power series for exp(x)
August 1st, 2022
power-series
taylor-expansion
Power series for $\ln(1+x^2)$
July 10th, 2020
approximation
power-series
What is the correct radius of convergence for $\ln(1+x)$?
August 1st, 2022
sequences-and-series
calculus
convergence-divergence
power-series
Express the indefinite integral $\int\sin x^2~dx$ as a power series
December 17th, 2020
indefinite-integrals
definite-integrals
power-series
using power expansion to find limit
August 1st, 2022
power-series
calculus
sequences-and-series
limits
Complex geometric series
February 8th, 2020
complex-analysis
power-series
Maclaurin expansion of $\sqrt{\cos 2x}$ and $\tan^2 x$ up to degree 4
July 28th, 2020
trigonometry
calculus
power-series
function with isolated singularity on the unit circle and coefficients of its taylor expansion
November 26th, 2020
power-series
complex-analysis
Radius of convergence of a power series with Bernoulli numbers
May 11th, 2020
calculus
bernoulli-numbers
power-series
convergence-divergence
real-analysis
Can I solve an Euler differential equation by using the Frobenius method?
August 1st, 2022
power-series
ordinary-differential-equations
Showing the power series of $\cos(x)$ converges uniformly to $\cos(x)$ on every bounded interval
March 17th, 2020
power-series
uniform-convergence
convergence-divergence
Complex Arctan function and its power series
April 7th, 2020
power-series
complex-analysis
taylor-expansion
Convergence of complex power series $z^{n!}$ at boundary
May 25th, 2020
complex-analysis
convergence-divergence
power-series
analysis
How do you add two series together
August 1st, 2022
sequences-and-series
power-series
find the interval of convergence of Taylor series
December 2nd, 2020
taylor-expansion
sequences-and-series
calculus
power-series
Find a power series representation (centered at x = 0) and determine the radius and interval of convergence
August 1st, 2022
convergence-divergence
calculus
power-series
Convert Power Series to function
August 1st, 2022
taylor-expansion
calculus
sequences-and-series
power-series
Find the Maclaurin series for $\ln(2-x)$
August 10th, 2020
taylor-expansion
power-series
MacLaurin series for $9\sec(3x)$
August 1st, 2022
calculus
power-series
taylor-expansion
trigonometric-series
Find the Laurent series for $f(z)=\frac{1}{z^2-3z+2}$ in the region of $0<|z-2|<1$
August 1st, 2022
complex-numbers
power-series
laurent-series
complex-analysis
Series convergence for even and odd terms
November 16th, 2020
sequences-and-series
convergence-divergence
power-series
Reciprocal Taylor series e.g. $\sin^{-1}x $
August 1st, 2022
taylor-expansion
power-series
list of convergent series
August 1st, 2022
limits
calculus
power-series
convergence-divergence
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