JEE Mains Model Paper 14

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Question : 89 of 90

Marks: +1, -0

For a real number y, let [y] denote the greatest integer less than or equal to y. Then the function f(x) =

tanπ[(x−π)]

1+[x]2

is :

discontinuous at some x
continuous at all x, but the derivative f'(x) does not exist for some x
f'(x) exists for all x, but the derivative f''(x) does not exist for some x
f''(x) exists for all x

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