Home
Class 12
MATHS
Let f(x)={(x^(2),x epsilonZ),((d(x^(2)-4...

Let `f(x)={(x^(2),x epsilonZ),((d(x^(2)-4))/(2-x),x !inZ):}` the set of integers. Then `lim_(xto2)f(x)`

A

exists only when `k=1`

B

exists for every real k

C

exists for every real k expect `k=1`

D

does not exists

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LIMITS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|96 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|30 Videos

Similar Questions

Explore conceptually related problems

Let f(x)={(x^2,x notin Z),((k(x^2-4))/(2-x),x notinZ):} Then, lim_(xto2) f(x)

If f(x)={("sin"(pix)/2,, x lt1),(4x-3,,1lexle2),(log2(2x^(2)-4),,2ltxlt3):} then value of lim_(xto1)f(x)+lim_(xto2^(+))f(x) is

f(x)= |{:(cos x,,x,,1),(2sin x ,,x^(2),,2x),(tanx ,, x,,1):}| then find the value of lim_(xto 0) (f(x))/(x)

Let f(x)=(x^2-x)/(x^2+2x) then d(f^(-1)x)/(dx) is equal to

Evaluate lim_(xto2) (x^(2)-5x+6)/(x^(2)-4).

If (x^2+x−2)/(x+3) -1) f(x) then find the value of lim_(x->-1) f(x)

Let f(x) =|{:(secx,x^(2),x),(2sinx,x^(3),2x^(2)),(tan3x,x^(2),x):}|lim_(x to 0)f(x)/(x^(4)) is equal to

Let f(x) =(kcosx)/(pi-2x) if x!=pi/2 and f(x)=3 if x=pi/2 then find the value of k if lim_(x->pi/2) f(x)=f(pi/2)

Let f(x)=(x^2-9x+20)/(x-[x]) (where [x] is the greatest integer not greater than xdot Then (A) ("lim")_(x->5)f(x)=1 (B) ("lim")_(x->5)f(x)=0 (C) ("lim")_(x->5)f(x) does not exist. (D)none of these

If f(x)=|{:(sinx,cosx,tanx),(x^(3),x^(2),x),(2x,1,x):}| , then lim_(xto0)(f(x))/(x^(2))=