# Series

## Collection by Aspriha Peters

10
Pins

Maclaurin series expansion | Maclaurin series expansion of e^x | Maclaurin series expansion of e^(-x) | Maclaurin series expansion of ln(1+x) - explained well

Maclaurin series for sin x. Here I show how to derive the Maclaurin series for the trigonometric function sin x in engineering mathematics context.

Maclaurin series for cos x. Here again I'll use the standard formula for the Maclaurin series expansion of f(x) as f(x) = f(0) + x f'(0) + x^2/2! f''(0)+...

Maclaurin series for ln (1 + x).Maclaurin series for any function f(x) is f(x) = f(0) + f^{'}(0) + \frac{x^2}{2!} f^{''}(0)+\frac{x^3}{3!} f^{'''}(0)+.....

Maclaurin series for Sinh x. Maclaurin series for any function f(x) is f(x)=f(0) + x f^{'}(0) + frac{x^2}{2!}f^{''}(0) + frac{x^3}{3!} f^{'''}(0) +.....

Maclaurin series for cosh x. Maclaurin series for any function $f(x)$ is f(x) = f(0)+x f^{'}(0)+ frac{x^2}{2!} f^{''}(0) + frac{x^3}{3!} f^{'''}(0) +.....

What is the power series expansion of sin x? Or in other words, derive the Maclaurin series expansion of sin^2 x. And for that, once again it will be the ...

How to get the Maclaurin series for tan x. It's an useful example in engineering mathematics. I'll use the Maclaurin formula for the series expansion of ...

derive binomial series from Maclaurin series. Maclaurin series is: f(x) = f(0) + x f^{'}(0) + frac{x^2}{2!} f^{''}(0) + frac{x^3}{3!} f^{'''}(0) +.....

Power series of Cos x. Sometimes it's also know as the Maclaurin series for Sin^2 x. And that will be cos^2 x=(1 - x^2 + ....) Check out for more details...