Find the limit if it exists.

Question

lim 1/(x-2) = infinity
x→2+

lim 1/(x-2) = negative infinity
x→2-

lim 1/(x-2) = Does not exist
x→2

lim (3x+2) = infinity
x→∞

lim 999/(x^3) = 0
x→-∞

Can someone check to make sure that I am correct?

Answer 1

all look good