# How do you evaluate e^0.62?

Jan 18, 2017

${e}^{0.62} \approx 1.85893$

#### 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

${e}^{1} = e = 2.7182818284590452353602874713527 \ldots \ldots . .$

One can also find ${e}^{0.62}$ using a scientific calculator, which
is roughly $\approx 1.85893$