# What is the value of e^1.8?

Jan 17, 2017

${e}^{1.8} \approx 6.04965$

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

and one can also find ${e}^{1.8}$ using a scientific calculator, which
is roughly $\approx 6.04965$