Find the expansion of ex in terms of x + m, m > 0.
Posted: Thu Jul 14, 2022 9:29 am
a) \(e^m [1+(x+m)+\frac{(x+m)^2}{2!}+\frac{(x+m)^3}{3!}+….]\)
b) \(e^{-m} [1+(x-m)+\frac{(x-m)^2}{2!}+\frac{(x-m)^3}{3!}+….]\)
c) \(e^m [1+(x-m)+\frac{(x-m)^2}{2!}+\frac{(x-m)^3}{3!}+….]\)
d) \(e^{-m} [1+(x+m)+\frac{(x+m)^2}{2!}+\frac{(x+m)^3}{3!}+….]\)
b) \(e^{-m} [1+(x-m)+\frac{(x-m)^2}{2!}+\frac{(x-m)^3}{3!}+….]\)
c) \(e^m [1+(x-m)+\frac{(x-m)^2}{2!}+\frac{(x-m)^3}{3!}+….]\)
d) \(e^{-m} [1+(x+m)+\frac{(x+m)^2}{2!}+\frac{(x+m)^3}{3!}+….]\)