- #1
dranseth
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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.