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

Discuss the continuity of the function f, where f is defined by: `f(x)={(2x,,,,if x<0),(0,,,, if 0lexle1),(4x,,,, if x>1):}`

Text Solution

Verified by Experts

The correct Answer is:
`x = 1`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS |11 Videos

  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

  • DETERMINANTS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|20 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the function f, where f is defined by: f(x)={(2x,,,,if x 1):}

Discuss the continuity of the function f, where f is defined by: f(x)={(-2,,,, if xle-1),(2x,,,, if -1lexle1),(2,,,, if x>1):}

Disuss the continuity of the function f where f is defined by f(x) {{:(3 if 0 le x le 1 ),(4 if 1 lt x lt 3 ),(5 if 3 le x le 10 ):}

Discuss the continuity of the function f defined by: f(x)={(x+3,,,,if x le 0),(x-2,,,,if x>1):}

Discuss the continuity of the function defined by: f(x)={(x+2,,,,if x 0):}

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

Discuss the continuity of the function f given by: f(x)={(x,,,,if x ge 0),(x^2,,,,if x<0):}

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

Discuss the continuity of the function f(x), where f(x)= {:{(2-x, x < 0),(2+x,xge0):} , at x = 2,0 and -2.