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If lim(x->a) f(x) = lim(x->a) [f(x)] ([...

If `lim_(x->a) f(x) = lim_(x->a) [f(x)]` ([.] denotes the greatest integer function) and `f(x)` is non-constantcontinuous function, then :

A

`underset(xrarra)limf(x)` is irrational

B

`underset(xrarra)lim` f(x) is non-integer

C

f(x) has local maxima at x=a

D

f(x) has local minima at x=a

Text Solution

Verified by Experts

The correct Answer is:
D
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