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## Homework Statement

Using the test for continuity at a point, explain why each function is discontinuous at the given x-value. Classify each discontinuity.

the question is a piecewise function.

i(x)={(x^2+5x+4)/(x^3+1), x=/= -1

{2, x=-1

this is all one piece wise function.

## The Attempt at a Solution

I first can say that the function exists and the limit exists just by glance. At x=-1 for the first piece, it is indeterminent. So I factor the first piece and end up with:

lim (x+4)/(x^2+x+1)

x->-1

subbing in a negative one I get 3.

but the back of the book says:

lim i(x) =2

x->-1

I'm not sure how.