Question

Can someone please tell me if I have found the correct answer for the following problem? Suppose that f and g are continuous functions that f(2)=5 and the limit of [f(x)+9g(x)] as x approches 2 equals 68. Find g(2) and the limit of g(x) as x approches 2.

Answer 1

g(2)=7
and
\[\lim_{x \rightarrow 2}g(x)=7\]

Answer 2

correct?

Answer 3

Yes. You are correct.