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Calculus

Taylor Series

Taylor Series Manipulation

         

Determine the Taylor series for the function

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

Determine the Taylor series for the function

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

Determine the Taylor series for the function

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

Determine the Taylor series for the function

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

Determine the Taylor series for the function

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

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