How do you evaluate e^0.62?

1 Answer
Jan 18, 2017

e^0.62~~1.85893

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^0.62 is given by

1+0.62+0.62^2/(2!)+0.62^3/(3!)+0.62^4/(4!)+0.62^5/(5!)+...............................

This is a well known convergent series and result is the irrational number and

e^1=e=2.7182818284590452353602874713527........

One can also find e^0.62 using a scientific calculator, which
is roughly ~~1.85893