New posts in taylor-expansion

What is the difference between the Taylor and Maclaurin series?

sequences-and-series power-series taylor-expansion

Find the Taylor series for a complex function

complex-analysis taylor-expansion

How to find all roots of the quintic using the Bring radical

sequences-and-series polynomials taylor-expansion roots

Generalized binomial theorem

calculus taylor-expansion

Multiplying Taylor series and composition

calculus taylor-expansion

Is there an approximation to the natural log function at large values?

logarithms taylor-expansion approximation

Could these polynomials be identified?

polynomials asymptotics taylor-expansion approximation

How many smooth functions are non-analytic?

real-analysis analysis taylor-expansion analyticity

An intuitive explanation of the Taylor expansion

intuition taylor-expansion

Is it impossible to perfectly fit a polynomial to a trigonometric function on a closed interval?

trigonometry polynomials taylor-expansion interpolation

What does it mean intuitively for a Taylor Series to be centered at a specific point?

power-series taylor-expansion

How to see $\cos x \leq \exp(-x^2/2)$ on $x \in [0,\pi/2]$?

calculus inequality taylor-expansion

Proving limit of f(x) - Tnf(x) (Taylor) is zero, in multivariable calculus

limits multivariable-calculus derivatives polynomials taylor-expansion

Proving that $\frac{e^x + e^{-x}}2 \le e^{x^2/2}$

calculus inequality taylor-expansion exponential-function

How local is the information of a derivative?

real-analysis taylor-expansion

Geometric representation of Euler-Maclaurin Summation Formula

real-analysis integration summation taylor-expansion visualization

Closed form for $ S(m) = \sum_{n=1}^\infty \frac{2^n \cdot n^m}{\binom{2n}n} $ for integer $m$?

taylor-expansion riemann-zeta hypergeometric-function pattern-recognition catalan-numbers

Is there a formula similar to $f(x+a) = e^{a\frac{d}{dx}}f(x)$ to express $f(\alpha\cdot x)$?

analysis operator-theory taylor-expansion

Why do we use big Oh in taylor series?

calculus notation asymptotics taylor-expansion

Find the power series of $f(x)=\frac{1}{x^2+x+1}$

calculus sequences-and-series power-series taylor-expansion