What is the value of #e^1.8#?

1 Answer
Jan 17, 2017

Answer:

#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#