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Question

The function f(x) defined by f(x)=(sin2 axx2, x01 , x=0 is continuous at x = 0. The value(s) of a is/are

A
\N
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B
1
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C
-1
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D
2
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Solution

The correct option is C -1
The given function f(x) will be continuous at x = 0, iff
limx0 f(x)=f(0)limx0 sin2 axx2=1limax0 a2(sin axax)2=1a2×1=1a=±1So, a = 1 or -1

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