cont. & diffn.

let [x] denote the greatest integer less than (or) equal to x. If f(x)=[x sin (pi*x)] then f(x) is

a) cont. at x=0
b) cont. in (-1,0)
c) diffn. at x=1
d) diffn in (-1,1)
e) none of these

ans: a,b,d

1 Answers

262

Aditya Bhutra ·2012-04-02 12:13:36

critical points are at 0,-1,1 .

check for their continuity (if it is continuous then it will be differentiable)

given ans. is correct.

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