how to solve this problem

Question

how to solve, step by step

Answer 1

It's a limit, so we're not concerned with what happens at x=1.  We're concerned with what happens as we approach x=1.

The part of f(x) that talks about approaching x=1 is x^2 + 2.  

If you plug x=1 into that you get (1)^2 + 2 = 3, so the limit of f(x) as x approached 1 is 3.