What is the value of e^1.8?

1 Answer
Jan 17, 2017

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