Home
Class 12
MATHS
The give functions is continuous at x=0....

The give functions is continuous at x=0. Find a, b, c
`f(x)= {((sin(a+1)x+sinx)/(x)",",x lt0),(C",",x=0),((sqrt(x+bx^(2))-sqrtx)/(bx^((3)/(2)))",",xgt0):}`

Text Solution

Verified by Experts

The correct Answer is:
`a= - (3)/(2), b in R, c= (1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.1|84 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.2|20 Videos
  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

If function f(x) is continuous at x= 0, f(x)= {((sin (4x))/(9x)",",x ne 0),(k^(2),x= 0):} then k= ……..

f(x)={{:((sin(a+1)x+sinx)/(x)","xgt0),((sqrt(x+bx^(2)-sqrt(x)))/(bx^((3)/(2)))","xgt0),(c","" "x=0):} If f(x) is continious of x=0 then….

Prove that the function f(x)= x^(2) is continuous at x=0.

Find all points of discontinuity of f, where f(x)= {((sin x)/(x)",","if " x lt 0),(x+1",","if" x ge 0):}

Find the values of k so that the function f is continuous at the indicated point f(x) = {((sqrt(1+ kx)-sqrt(1-kx))/(x)",","if " -1 le x lt 0),((2x+1)/(x-1)",","if " 0 le x lt 1):} at x= 0

Find the values of k so that the function f is continuous at the indicated point f(x) = {((1- cos (kx))/(x^(2))",","if " x ne 0),((1)/(2)",","if " x= 0):} at x= 0

f(x)= {((|sin x|)/(x)",",x ne 0),(1",",x=0):} Examine the continuity of f(x), x= 0

Examine the continuity of the function f(x)= {((1-cos(2x))/(x^(2)),"if "x ne 0),(5",","if" x = 0):} at x=0