Home
Class 12
MATHS
Determine the constant k, so that the fu...

Determine the constant k, so that the function
`f(x) = {{:((x^2- 9)/(x -3)"," ,x != 3),(k",", x = 3):}` is continuous at x=3.

Text Solution

Verified by Experts

The correct Answer is:
F
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|17 Videos

  • CONTINUITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARKS (FILL IN THE BLANKS QUESTIONS (TYPE-II))|8 Videos

  • APPLICATIONS OF INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|17 Videos

  • DEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos

Similar Questions

Explore conceptually related problems

Determine the constant k so that the function f(x) = {{:(3k - 2x"," , " if " x lt 1),(2k + 1",", "if "x ge 1):} is continous at x = 1 .

Determine the value of the constant k so that the function f(x) = {:{((sinkx)/x, x ne 0),(4+x, x = 0):} is continuous at 0.

Determine the value of the constant k so that the function f(x) = {:{((sin2x)/(5x), if x ne 0),(k, if x = 0):} is continuous at x = 0

Find k so that f(x) = {{:((x^2 -25 )/(x -5)"," ,"if " x != 5),(k",","if " x = 5 ):} is continuous at x = 5 .

Determine the value of constant k so that the function f(x) = {{:((x^2 - 2x - 3)/(x + 1)"," ,"if " x != 1),(k",","if " x = 1):}

Determine the value of the constant k so that the function f(x) = {:{(k(x^2+2), if x le 0),(3x+1, if x > 0):} is continuous at x = 0

Determine the value of the constant k so that the function f(x) = {:{(3x-8, if x le 5),(2k, if x > 5):} is continuous at x = 5

The value of the constant k so that the function f(x)={((x^(2)-3x+2)/(x-1),",","if "xne1),(k,",","if "x=1):} is continuous at x = 1 is