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## Homework Statement

g(x) = [ x^2 + 2 if x<=1 & x + 2 if x>1,

I am asked to find the left and right limits, and whether the g(x) is continuous or not.

## Homework Equations

## The Attempt at a Solution

When I draw the two equations, I get a hyperbola and a line of gradient 1. They both share the same point(1), so I would say that the limit on the left and right is both 3? Now here is where it confuses me. All the answers given, have no relevance to my opinion.