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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

` lim _(x to 0) f (x)` is an integer

B

`lim _(xto0 ) f (x)` is non-integer

C

`f (x) ` has local maximum at `x=a`

D

`f (x)` has local minimum at `x=a`

Text Solution

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The correct Answer is:
A, D
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