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If f(x)={(x[x], 0lexlt2),((x-1)[x], 2lex...

If `f(x)={(x[x], 0lexlt2),((x-1)[x], 2lexle3'):}`, where [.] denotes the greatest integer function, then

A

both f'(1) and f'(2) do not exist

B

f'(1) exists but f'(2) does not exist

C

f'(2) exists but f'(1) does not exist

D

both f' (1) and f'(2) exists

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The correct Answer is:
A
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  19. On the interval I = [-2, 2], the function f(x)={((x+1)e^(-(1/|x|+1/x)...

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