Home
Class 12
MATHS
Find the value of f(1) that the functio...

Find the value of f(1) that the function `f(x)= (9(x^(2/3)-2x^(1/3)+1))/((x-1)^(2)), x ne 1` is continuous at x =1

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - H|2 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos
  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

Find the value of f(1) so that the function f(x)=((root(3)x^2-(2x^(1//3)-1)))/(4(x-1)^2), x ne 1 is continuous at x=1.

Find the value of f(0) so that the function f(x)=1/8 (1-cos^2 x+sin^2 x)/[sqrt(x^2+1)-1], x ne 0 is continuous .

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):} is continuous at x = 1

The function f(x)=2^(-2^(1//(1-x))) if x!= 1 and f(1) = 1 is not continuous at x = 1.

The function f(x)=2^(-2^(1//(1-x))) if x != 1 and f(1) = 1 is not continuous at x= 1.

Find the value of f(0) so that the function.f(x)=(sqrt(1+x)-root(3)(1+x))/(x) becomes continuous at x=0