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Math Help - Continuity question.

  1. #1
    Junior Member
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    Continuity question.

    g(x)=\left\{\begin{array}{cc}x^2+1,&\mbox{ if }x\leq 0\\x^2+bx\sin(\frac{1}{x})+c,&\mbox{ if }x>0\end{array}\right.

    Find all the values of b and c that make g continuous on R, express the values of b and c as sets.

    b\in
    c\in
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  2. #2
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    Krizalid's Avatar
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    The only possible point of discontinuity is at x=0, hence, you must put \lim_{x\to0^-}f(x)=\lim_{x\to0^+}f(x).
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