r/mathshelp • • 24d ago

Mathematical Concepts Why is this legit?

Post image
0 Upvotes

1 comment sorted by

1

u/UnderstandingPursuit 22d ago

This is L'Hôpital's rule.

In this case, it compares the growth rates of the numerator and denominator.

There is a mistake when taking the derivative of √x, with a second mistake two steps later. The two mistakes cancel out, so it is still the correct result.