New posts in taylor-expansion

Taylor Series to the Power 1/z

Derive taylor series of $e^{\sin(x)}$ in two different ways

Why the existence of Taylor series doesn't imply it coverges to the original function

Maclaurin series for $\arctan^{2}(x)$

Finding taylor expansion of $\cos^2x$ and $\sin^2x$

Taylor series for logarithm converges towards logarithm

How to bound the error for the Taylor expansion of the inverse of a mean of exponentials?

A property of roots of the truncated series for $\sin(x)$

Differences among Cauchy, Lagrange, and Schlömilch remainder in Taylor's formula: why is generalization useful?

How to use Chebyshev Polynomials to approximate $\sin(x)$ and $\cos(x)$ within the interval $[−π,π]$?

How to compute the values of this function ? ( Fabius function )

How do I find the probability involving the normal distribution function for $P(X \le 16.50)$?

Derivation of multivariable Taylor series

Compute Taylor error of $10^{-5}$ for $\cos(\pi/20)$

Use taylor series to arrive at the expression f'(x)=1/h[-3*f(x)/2+2f(x+h)-f(x+2h)/2]

Integral remainder converges to 0

$f: \mathbb{R^2} \to \mathbb{R}$ a $C^\infty$ function such that $f(x,0)=f(0,y)=0$ then exists $g$ such that $f(x,y)=xy\, g(x,y)$

How far can the convergence of Taylor series be extended?

Taylor expansion for vector-valued function?

Is there a shortcut to find a Taylor series not centered at 0 with a Taylor series centered at 0?