Maclaurin series expansion of e^x | Taylor series of e^x

The Maclaurin series expansion of ex or the Taylor series expansion of ex at x=0 is given by the following summation: ex = n=0xnn! = 1+x+x22!+x33!+x44!+. In this post, we will learn how to find the series expansion of ex. Taylor Series Expansion of ex at x=0 The Maclaurin series expansion of a function … Read more

Maclaurin series of cosx | Taylor series of cosx

The Maclaurin series expansion of cosx or the Taylor series expansion of cosx at x=0 is given as follows: cosx = n=0(1)n(2n)!x2n = 1x22!+x44!x66!+ Taylor Series Expansion of Sinx at x=0 Note that the Maclaurin series expansion of f(x)=cosx or the Taylor series of a function f(x) at x=0 is given by the following … Read more

Maclaurin series of sinx | Taylor series of sinx

The Maclaurin series expansion of sinx or the Taylor series expansion of sinx at x=0 is given as follows: sinx=n=0(1)n(2n+1)!x2n+1 =xx33!+x55! Taylor Series Expansion of Sinx at x=0 We know that the Maclaurin series expansion of sinx or the Taylor series of a function f(x) at x=0 is given by the … Read more