Home
Class 12
MATHS
If f(x) = {{:((log(1+2ax)-log(1-bx))/(x)...

If `f(x) = {{:((log(1+2ax)-log(1-bx))/(x)",",x ne 0),(" "k",",x = 0):}` is continuous at x = 0, then k is equal to

A

2a + b

B

2a - b

C

b - 2a

D

a + b

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise For Session 2|4 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise For Session 3|5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If f(x)={((log(1+2ax)-log(1-bx))/(x)",", x ne 0),(k",", x =0):} is continuous at x = 0, then value of k is

f(x)={(log(1+2ax)-log(1-bx))/(x),x!=0x=0

If f(x)={(log_((1-3x))(1+3x)",","for",x ne 0),(k",","for",x =0):} is continuous at x = 0, then k is equal to

If f(x) {:(=(log (1-2x)-log(1-3x))/x", " x != 0 ),(=a", " x = 0 ):} is continuous at x = 0 , then : a =

Let f(x)={((sin pix)/(5x)",",x ne0),(k"," , x =0):} if f(x) is continuous at x = 0, then k is equal to

If f(x) {:(=(log (1+3x )-log(1-2x))/x", if " x != 0 ),(=a", if " x =0 ):} is continuous at x = 0 , then a =

{:(f(x),=(log(1+kx))/(sin x),",",x != 0),(,=5, ",",x = 0):} If f is continuous at x = 0, then k =

If f(x)={(x^(k) sin((1)/(x))",",x ne 0),(0",", x =0):} is continuous at x = 0, then

If f(x) = {{:(sin1/x, x ne 0),(k, x =0):} , is continous at x=0, then k is equal to-