, where , exists and has non-zero value.…

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

Problem

lim⁡x→0xasin⁡bxsin⁡(xc)\lim_{x \rightarrow 0} \frac{x^a \sin^b x}{\sin(x^c)} , where a,b,c∈R∼{0}a, b, c \in \mathbb{R} \sim \{0\} , exists and has non-zero value. Then, (a) a+c=ba + c = b (b) b+c=ab + c = a (c) a+b=ca + b = c (d) none of these

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