Calculus

Taylor Series

Taylor Series Manipulation

         

Determine the Taylor series for the function

f(x)=sinhx  centered at  x=0.f(x)=\sinh x ~\text{ centered at }~ x=0.

Determine the Taylor series for the function

f(x)=coshx  centered at  x=0.f(x)=\cosh x ~\text{ centered at }~ x=0.

Determine the Taylor series for the function

f(x)=ex2  centered at  x=0.f(x)=e^{x^2} ~\text{ centered at }~ x=0.

Determine the Taylor series for the function

f(x)=1(1x)2  centered at  x=0  for  x<1.f(x)=\frac{1}{(1 - x)^2} ~\text{ centered at }~ x=0 ~\text{ for }~ \left |x \right |<1.

Determine the Taylor series for the function

f(x)=sinx2  centered at  x=0.f(x)=\sin{x^2} ~\text{ centered at }~ x=0.

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