Use L’Hˆopital’s Rule to evaluate the following limits, or state that L’Hˆopital’s Rule does not apply. a. limx→[infinity] e −x (x 3 − x^2 +9)
b. limx→0 sin x − x cosx − sin x
c. limx→[infinity] (x − ln x)
d. lim x→0 sin x + ln x
e. lim x→π/2− (sec x − tan x)
f. limx→4 x 3 − 64 x^2 +16
g. limx→[infinity] ( x/x +1)^3x