Chapter 11.5, Problem 24E

(a)

To determine

To calculate: First four non zero terms in the Tylor series of $y=\sinh x$ at $x=0$, by using differentiation and the definition of Tylor series, where $\sinh x=\frac{1}{2}\left(e^x-e^{-x}\right)$.

(b)

To determine

To calculate: The Tylor series for $\sinh x$ at $x=0$, by using known Tylor series for $e^x$, Where $\sinh x=\frac{1}{2}\left(e^x-e^{-x}\right)$.