Asked by Kenny
                Sketch a possible graph for a function where f(-2) exists, lim as x->-2 exists, f is not continuous at x=-2, and lim x->1 doesn't exist.
How do I make this graph exist at x->-2 but still be discontinuous?
            
        How do I make this graph exist at x->-2 but still be discontinuous?
Answers
                    Answered by
            Steve
            
    just define f(-2) to be some value other than its limit.
f(x) = 2x for x ≠ -2
f(-2) = 0
The limit exists from both sides, but f is not continuous there.
    
f(x) = 2x for x ≠ -2
f(-2) = 0
The limit exists from both sides, but f is not continuous there.
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