Home
Class 12
MATHS
If underset(x to a)lim f(x)=underset(x t...

If `underset(x to a)lim f(x)=underset(x to a)lim [f(x)] and f(x) ` is non-constant continuous function, where [.] denotes the greatest integer function, then

A

`underset(x to a) ("lim")` f(x) is integer

B

`underset(x to a)("lim")` f(x) is non-integer

C

f(x) has local maximum at x = a

D

f (x) has local minima at x = a

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 3|32 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE -4 (LEVEL - I)|10 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE -2 (LEVEL- I)|26 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos

Similar Questions

Explore conceptually related problems

If lim_(x to a) f(x)=lim_(x to a) [f(x)] and f(x) is non-constant continuous function, where [.] denotes the greatest integer function, then

If f(x)=[2x], where [.] denotes the greatest integer function,then

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

The function f(x)=[x], where [x] denotes the greatest integer function,is continuous at

f(x)=[sinx] where [.] denotest the greatest integer function is continuous at:

Let us consider a function f(x)=sin[x] where [x] denotes the greatest integer function.Then

The function,f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

f(x)=log(x-[x]), which [,] denotes the greatest integer function.

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is