#2**+5 **

The limit is 2,but not as demonstrated above.Since both the numerator and denominator tend to zero as x tends to zero,we need to use L'Hopital's theorem.

we have f(x)/g(x) =f'(x)/g'(x)

lim(x) tends to zero lim(x) tends to zero, and we can repeat until

we get rid of any zero's on the denominator.

Applying the theorem twice gets you there.

Mathcad
Jun 2, 2015