Math

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?

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  1. 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.

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