Home
Class 12
MATHS
lim(xtoc)f(x) does not exist when whe...

`lim_(xtoc)f(x)` does not exist when
where `[.]` and `{.}` denotes greatest integer and fractional part of `x`

A

`f(x)=[x]-[2x-1],c=3`

B

`f(x)=[x]-x,c=1`

C

`f(x)={x}^(2)-{-x}^(2),c=0`

D

`f(x)=(tan(sgnx))/((sgnx)),c=0`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|10 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|3 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|38 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

The value of int_(1)^(4){x}^([x]) dx (where , [.] and {.} denotes the greatest integer and fractional part of x) is equal to

If f(x) = {{:([cos pi x]",",x le 1),(2{x}-1",",x gt 1):} , where [.] and {.} denotes greatest integer and fractional part of x, then a. f'(1^(-)) = 2 b. f'(1^(+)) = 2 c. f'(1^(-)) = -2 d. f'(1^(+)) = 0

Domain of f(x)=sin^(-1)(([x])/({x})) , where [*] and {*} denote greatest integer and fractional parts.

If int_0^x[x]dx=int_0^([x]) xdx,x !in integer (where, [*] and {*} denotes the greatest integer and fractional parts respectively,then the value of 4{x} is equal to ...

Identify the correct statement. a. lim_(xtooo)[sum_(r=1)^(n)1/(2^(r))]=1 b. If f(x)=(x-1){x}, where [.] and {.} denotes greatest integer function and fractional part of x respectively, the limit of f(x) does not exist at x=1 c. lim_(xto0^(+))[(tanx)/x]=1 d. [lim_(xto0^(+))(tanx)/x]=1

If f(n)=(int_0^n[x]dx)/(int_0^n{x}dx) (where,[*] and {*} denotes greatest integer and fractional part of x and n in N). Then, the value of f(4) is...

lim_(xto0)[(-2x)/(tanx)] , where [.] denotes greatest integer function is

To evaluate lim_(xtoa)[f(x)] , we must analyse the f(x) in right hand neighbourhood as well as in left hand neighbourhood of x=a . E.g. In case of continuous function, we may come across followign cases. If f(a) is an integer, the limit will exist in Case III and Case IV but not in Case I and Case II. If f(a) is not an integer, the limit exists in all the cases. ltbgt If f'(1)=-3 and lim_(xto1)[f(x)-1/2] does not exist, (where [.] denotes the greatest integer function), then

Solve lim_(xtooo) [tan^(-1)x] (where [.] denotes greatest integer function)

Solve lim_(xto0)["sin"(|x|)/x] , where e[.] denotes greatest integer function.