Home
Class 11
MATHS
For the function f(x)={{:(x+2", "xgt0),(...

For the function `f(x)={{:(x+2", "xgt0),(x-2", "xlt0):}`

A

`lim_(xto2^(-))f(x)=-1`

B

`lim_(xto0)f(x)` does not exist

C

`lim_(xto0^(-))f(x)=-1`

D

`lim_(xto0^(+))f(x)=1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER -19

    SURA PUBLICATION|Exercise SECTION - II|10 Videos

  • QUESTION PAPER -19

    SURA PUBLICATION|Exercise SECTION - III|10 Videos

  • MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION -D (5 MARK )|3 Videos

  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D) (MARKS 5)|11 Videos

Similar Questions

Explore conceptually related problems

For the probability density function f(x) = {(2e""^(-2x),x gt0),(0,xlt=0):} find F(2)

Consider the function f(x)={{:(xsin(pi)/(x),"for"xgt0),(0,"for"x=0):} Then, the number of points in (0,1) where the derivative f'(x) vanishes is

Find the points of discontinuity of the function f, where f(x)={{:(x+2", ""if "xge2),(x^(2)", ""if "xlt2):}

Find the points of discontinuity of the function f, where f(x)={{:(x^(3)-3", ""if "xle2),(x^(2)+1", ""if "xgt2):}

If f(x)={{:(x","" "xlt0),(1","" "x=0),(x^(2)","" "xgt0):}," then find " lim_(xto0) f(x)" if exists.

The function f(x)={(2, xle1),(x, xgt1):} is not differentiable at……

Consider the function f(x)={2x+3,xlt=1 -x^2+6,x >1