81. The formula x" dx = limit of the general case by applying L'Hôpital's Rule to the limit on the left: +C is valid for n + -1. Show that the exceptional case n = -1 is a %3D n +1 lim t" dt = (for...

0) Note that the integral on the left is equal to n+1 "/>
Extracted text: 81. The formula x" dx = limit of the general case by applying L'Hôpital's Rule to the limit on the left: +C is valid for n + -1. Show that the exceptional case n = -1 is a %3D n +1 lim t" dt = (for fixed x > 0) Note that the integral on the left is equal to n+1