this is driving me crazy. I need to solve this:
Here's the riddle: Since it's (0/0), I do L'Hôpital's rule, which means I get to:
But the limit of this = 0 (after one more use of L'Hôpital's rule). And that is not the correct answer.
HOWEVER, if I just do the derivative of the integral, but LEAVE the denominator as is, then I get this:
And after some more use of L'Hôpital's rule, this actually comes out to be (-5) - which is supposed to be the correct answer.
So I don't understand why when I use L'Hôpital's rule on the numerator alone - it works, but if I use it on both numerator and denominator (which is how you're supposed to..) - it doesn't.
Would appreciate the solution of this "mystery" :)