Question

I have limit to solve , also its like prof , cause I already knows the answer but i don't know how :

\[\lim_{x \rightarrow zero} \frac{(1+x)^\frac{3}{2}-1}{x}\]

The answer should be: 3/2 ,
also x not equal to zero

Answer 1

this is an indeterminate form so can't you use lhopitals rule?

Answer 2

it is of the form 0/0. So apply L'Hospital Rule. You should be able to solve this now

Answer 3

It could be .. i just will tried that .