Home
Class 12
MATHS
Discuss the continuity of the function ...

Discuss the continuity of the function
`f(x)={((|x|)/x", " xne 0),(1", " x=0):}` at x=0

A

` x gt 0`

B

` x lt 0`

C

0

D

None of these

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5p|20 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5.1|34 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5n|11 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos
  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the function (x)/(|x|),x!=00,x=0

Discuss the continuity of the function f given f(x)=|x| at x=0

Discuss the continuity of the function : f(x)={{:((1-cosx)/x^(2)", "xne0),(1", "x=0):} at x = 0.

Discuss the continuiy of the function f(x)={(1/x ", " x ne 0),(1", " x=0):} at x=0.

Discuss the continuity of the function : f(x)={{:((|x-2|)/(2-x)", "xne2),(-1" ,"x=2):} at x = 2

Discuss the continuity of the function : f(x)={{:((|x-2|)/(x-2)", "xne2),(1" ,"x=2):} at x = 2

(i) Dissusse the continuity of the function f(x)={(|x-a|", " xne a ),(" "0 ", "x=a):} at x=a (ii) Discuss the continutiy of the function f(x)={(|x-3|/(x-3)", " xne 3 ),(" "0 ", "x=3):} at x=3

Discuss the continuity of the function f(x) ={:{((Sinx)/(x) ", "x lt0 ),(x+1 ", " x ge0):}, at =0.

Discuss the continuity of the function f(x) ={(x", " x ge 0),(2", "x lt0):} at x=0

Discuss the continuity of the function f defined f(x)=(1)/(x),x!=0