If \( \lim _{x \rightarrow 0} \frac{x^{a} \sin ^{b} x}{\sin \left(x^{c}\right)}=1 \) where \( a,...
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0If \( \lim _{x \rightarrow 0} \frac{x^{a} \sin ^{b} x}{\sin \left(x^{c}\right)}=1 \) where \( a, b, c \in R-\{0 \)
(A) \( a+c=b \)
(B) \( b+c=a \)
(C) None of these
(D) \( a+b=c \)
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