limit question.!!?

Question

lim x --> -2 f(x)/x^2=1
find :
a. lim x--> -2 f(x)/x = ...??
b. lim x--> -2 f(x) = ...??

Can somebody help me to solve this question
I cant solve this question..
thx in advanced..

Answer 1

f(x) / x = (f(x) / x^2) . x
So lim (x->-2) f(x)/x
= [lim (x->-2) (f(x)/x^2)] . [lim (x->-2) x]
= 1 . (-2)
= -2

Similarly we have
lim (x->-2) f(x)
= [lim (x->-2) (f(x)/x^2)] . [lim (x->-2) x^2]
= 1 . (4)
= 4.