Question

If `agt0 and x in R`, then
`1+(xlog_(e)a)+(x^(2))/(2!)(log_(e)a)^(2)+(x^(3))/(3!)(log_(e)a)^(3)+….infty` is equal to
A. a
B. `a^(x)`
C. `a^(log_(e)a)`
D. x

Answer 1

Answer:
We have
`1+(x log_(e)a)+(x^(2))/(2!)(log_(e)a)(2)+(x^(3))/(3!)(log_(e)a)^(3)+..infty`
`=e^(log_(e)a)=e^(log)_(e)a^(x)=a^(x)`