I have no clue what to do here....please help
lim as x goes to 0+ of [cos(pi/2-x)]^x
and
lim as x goes to 2+ of (1/x^2-4 - sqr(x-1)/(x^2-4)
Hello, poopforbrains!
I found a solution.
. . I hope someone has a better way!
Note that: .
So we have: .
Take logs: . . . . which approaches
. . Apply L'Hopital: . . . . which approaches
. . Apply L'Hopital: . . . . which approaches
Hence: .
Therefore: .