That's just a direct use of L'Hospital's rule. The derivative of the numerator is and the derivative of the denominator is 1.
We're asked to find:
The solution involves L'Hospital's Rule. In the solution manual, it displays the intermediate step as:
Which equals:
ln 5 - ln 3 = ln 3/5
Anyone have any clue how they (specifically) managed to get the ? Must be an algebraic trick that isn't occurring to me...?
Thanks in advance!