Home
Class 11
MATHS
Check the continity of the following fun...

Check the continity of the following function at 2 . `f(x)={{:((1)/(2)(x^(2)-4),"if "0ltxlt2),(0,"if "x=2),(2-8x^(-3),"if "xgt2):}`

Text Solution

Verified by Experts

The correct Answer is:
x=2
Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 1

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C LONG ANSWER TYPE QUESTION|7 Videos

  • MODEL PAPER 1

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-A VERY SHORT ANSWER TYPE QUESTIONS|10 Videos

  • MODEL PAPER - 8

    VGS PUBLICATION-BRILLIANT|Exercise Section - C (Long Answer Type Questions)|8 Videos

  • MODEL PAPER 10

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (III. Long answer type questions)|8 Videos

Similar Questions

Explore conceptually related problems

Check the continuity of function defined b y f(x)={{:(1/2(x^(2)-4),if 0lt x lt2),(0,if x=2),(2-(8)/(x^(3)),if x gt2):} at x=2

Check the continuity of the function ‘f defined by f(x)= {{:((sin2x)/(x),if x ne 0),(1,if x=0):} at x=0

Find the domains of the following functions f(x) = ( x^(2) + 1)/( x^(2) - 3x + 2)

Check the continuity of the functionn 'f' defined by fx={{:((x^(2)-9)/(x^(2)-2x-3),if, 0 lt x lt 5 and x ne3),(1.5,if,x=3):}

Check the continuity of the function f defined by f(x)={{:(x+1,if xle1),(2x,if 1 lt x lt 2x),(1+xA^(2),if x ge 2):} at x=1 and 2