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Q.

f(x) = f(x)=(sin−1x)2cos(1x) if  x≠0; f(x)=0, f(x)  is

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a

cont. nowhere in  −1≤x≤1

b

cont. everywhere in −1≤x≤1

c

differentiable nowhere in  −1≤x≤1

d

differentiable everywhere in −1≤x≤1

answer is B.

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Detailed Solution

lim     x→0sin-1x2cos1x= 0 cos1xis oscilating between [-1,-1]
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