Question

What is the value of `e^1.8`?

Answer 1

`e^1.8~~6.04965`

Explanation:

The value of `e^x` is given by

`1+x+x^2/(2!)+x^3/(3!)+x^4/(4!)+x^5/(5!)+...............................`

Hence `e^1.8` is given by

`1+1.8+1.8^2/(2!)+1.8^3/(3!)+1.8^4/(4!)+1.8^5/(5!)+...............................`

This is a well known convergent series and result is the irrational number `e^1=e=2.7182818284590452353602874713527........`

and one can also find `e^1.8` using a scientific calculator, which
is roughly `~~6.04965`