Consider Then

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider f(x)={8x−4x−2x+1x2,x>0exsin⁡x+πx+klog⁡4,x<0f(x) = \begin{cases} \frac{8^x - 4^x - 2^x + 1}{x^2}, & x > 0 \\ e^x \sin x + \pi x + k \log 4, & x < 0 \end{cases} Then, f(0)f(0) so that f(x)f(x) is continuous at x=0x=0, is (1) log⁡4\log 4 (2) log⁡2\log 2 (3) (log⁡4)(log⁡2)(\log 4)(\log 2) (4) None of these

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