Calculus

Taylor Series

Taylor Series

         

Determine the Taylor series for the function f(x)=sin(x)cos(x) centered at x=π.f(x) = \sin(x)\cos(x) \text{ centered at } x = \pi.

At a=0 a = 0, what is the Taylor series expansion of

ln(1+x)? \ln ( 1 + x ) ?

At a=0 a = 0, what is the Taylor series expansion of

1(1x)2? \frac{1}{(1-x)^2} ?

Given the Maclaurin series expansion of exp(x2)\exp(x^2) as a0+a1x1+a2x2+,a_0 + a_1 x^1 + a_2 x^2 + \cdots , what is the value of a0+a1+a2a_0 + a_1 + a_2 ?

Determine the first three non-zero terms of the Taylor series for f(x)=tan(x) centered at x=π4.f(x) = \tan(x) \text{ centered at } x = \frac{\pi}{4}.

×

Problem Loading...

Note Loading...

Set Loading...