Prove that the function f given by f(x) = x – [x] is increasing in ( – InterviewSolution

1.

Prove that the function f given by f(x) = x – [x] is increasing in (0, 1) ?

Answer»

We have,

f(x) = x – [x]

∴ f'(x) = 1 > 0

∴ f(x) is an increasing function on (0,1)

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