Let . If f(x) is continuous and differentiable at any point, then
none of these
The given function is clearly continuous at all points except possible at . For f(x) to be continuous at x=1, we must have
Clearly, f(x) is differentiable for all x, excetp possibly at As f(x) is an evern function, so we need to check its differentiabilify at x=1 only.
For f(x) to be differentiable at x=1, we must have
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