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math- Calculus

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If lim x->6 f(x)g(x) exists, then the limit must be f(6)g(6). True or false?

Explain why it's true or false.


  • math- Calculus -

    It is possible that the lim x→q f(x) exists, but f(q) does not.

    An example is
    f(x)=sin(x)/x where
    lim x→0 f(x)=1, but
    f(0) does not exist.

    I leave it up to you to decide on whether the answer should be true or false.

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