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

Discuss the continuity of the following function at `x = 0` : `f(x) = {{:((x^4 + 2x^3 + x^2)/(tan^(-1)x), x != 0),(0, x = 0):}`

Text Solution

Verified by Experts

The correct Answer is:
function is continuous at `x = 0`
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

Check the continuity of the following functions: f(x) = x^2atx=0

Discuss the continuity of following at x = 0 if f(x) = {{:((sqrt(1 + 3x) - sqrt(1 - 3x))/(sin x)"," ,x != 0),(3",", x = 0):}

Test the continuity of the following functions at indicated points : f(x) = {{:((x) "sin" 1/(x)"," ,x != 0),(0",", x = 0):} at x = 0

Discuss the continuity of the function f(x) at x = 3 if f(x) = {{:((x - 3)/(sqrt(x^2) - 9)"," ,x != 3),(0",", x = 3):}

Test the continuity of the following functions at indicated points : f(x) = {{:(x^2 "sin" 1/x"," ,x != 0),(0",", x = 0):} at x = 0

Discuss the continuity of the function (x) at x = 1 if f(x) = {{:((x - 1)/(sqrt(x^2) - 1)"," ,x != 1),(0",", x = 1):}

Determine, k if the following function is continuous at x = 0 f(x) = {{:((sin 3x)/(4x), x != 0),(k,x = 0):}

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

Discuss the continuity of the following functions f(x) = {{:(x + 2"," ,"if " x lt 0),(-x + 2",","if " x ge 0):}