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Math Help - Continuity problem help..

  1. #1
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    Question Continuity problem help..

    f(x)= [sin(pi.cos^2x)]/x^2 when x not equal to 0 & f(x)= pi when x=0. If f(x) is continuous, find value of pi.
    How to do this sum??
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  2. #2
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    Assuming pi is a variable, not the well-known \pi:

    Since f is a continuous function, then it is continuous at x=0 ..

    f is continuous at x=0 \implies \lim_{x\to 0} f(x)=f(0) ..

    And the last formula will find your pi ..
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