How do you use L'Hopital's rule to solve this limit?

Question

How do you use L'Hopital's Rule to solve the limit: lim x->infinity x(pi/2 - tan^-1(x))

Answer 1

The Function is .

Re-write the Equation as

If we substitute ∞ then the Function changes to 0/0 format.

Apply L-Hospital Rule.

= -1

Therefore the is -1.