Home
Class 12
MATHS
If the function f is defined by f(x) = {...

If the function f is defined by `f(x) = {(3,,x,ne,0),(a+1,,x,=,0):}` and f is continuous at x = 0, then value of a is :

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF INTEGRATION

    JMD PUBLICATION|Exercise EXAMPLE|7 Videos
  • Determinants

    JMD PUBLICATION|Exercise Exercise|20 Videos

Similar Questions

Explore conceptually related problems

If the function f is defined by f(x) = {(5,,x,ne,0),(a-1,,x,=,0):} and f is continuous at x = 0, then value of a is :

If the function f is defined by f(x) = {(7,,x,ne,0),(a-2,,x,=,0):} and f is continuous at x = 0, then value of a is :

Knowledge Check

  • If function defined by f(x)={:{((sin3x)/(4x)" , "x!=0),(k+1" , "x=0):} is continuous at x=0 , then value of k is :

    A
    `1/2`
    B
    `-1/2`
    C
    `1/4`
    D
    `-1/4`
  • If function defined by f(x) = {{:((sin 3x)/(2x)"," ,x != 0),(k + 1",", x = 0):} is continuous at x = 0 , then value of k is

    A
    `0`
    B
    `3/2`
    C
    `1/2`
    D
    `1`
  • Similar Questions

    Explore conceptually related problems

    If the function f is defined by f(x)={(7" , "xne0),(a-1" , "x=0):} and f is continuous at x=0 then value of 'a' is _____

    If function defined by : f(x)= {((sin3x)/(2x),,x,ne,0),(k+1,,x,=,0):} is continuous at x = 0, then value of k is :

    If function defined by : f(x)= {((sin5x)/(3x),,x,ne,0),(k+1,,x,=,0):} is continuous at x = 0, then value of k is :

    If function defined by : f(x)= {((sin3x)/(4x),,x,ne,0),(k+1,,x,=,0):} is continuous at x = 0, then value of k is :

    If f(x) = {((sin 5x)/(2x),,x,ne,0),(k,,x,=,0):} is continuous at x = 0 then value of k is :

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