The Mclaurin Series expansion of sin(ex) is?
Posted: Thu Jul 14, 2022 9:27 am
a) sin(1)+\(\frac{x.cos(1)}{1!}+\sum_{n=2}^{\infty}\sum_{a=0}^{\infty}\frac{x^n.(-1)^a}{n!}\times\frac{(2a+1)^n}{(2a+1)!}\)
b) \(\frac{e^x}{1!}+\frac{e^{3x}}{3!}+\frac{e^{5x}}{5!}…\infty\)
c) \(-\frac{e^x}{1!}+\frac{e^{3x}}{3!}-\frac{e^{5x}}{5!}…\infty\)
d) \(\sum_{n=2}^{\infty}\sum_{a=0}^{\infty}\frac{x^n.(-1)^a}{n!}\times \frac{(2a+1)^n}{(2a+1)!}\)
b) \(\frac{e^x}{1!}+\frac{e^{3x}}{3!}+\frac{e^{5x}}{5!}…\infty\)
c) \(-\frac{e^x}{1!}+\frac{e^{3x}}{3!}-\frac{e^{5x}}{5!}…\infty\)
d) \(\sum_{n=2}^{\infty}\sum_{a=0}^{\infty}\frac{x^n.(-1)^a}{n!}\times \frac{(2a+1)^n}{(2a+1)!}\)