Continuity and Discontinuity

AP Calculus AB· difficulty 2/5

g(x)={2xx<0x2+cx0g(x) = \begin{cases} 2x & x < 0 \\ x^2 + c & x \ge 0 \end{cases}. For continuity at x=0x = 0, cc must be

  • A

    11

  • B

    22

  • C

    00

    check_circle
  • D

    2-2

Explanation

Left: limx02x=0\lim_{x\to 0^-} 2x = 0. Right: 02+c=c0^2 + c = c. So c=0c = 0.

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