Determine the values of a , b , c for wh...

Determine the values of `a , b , c` for which the function `f(x)={(sin(a+1)x+sinx)/(x c,fox=0),forx<0(sqrt(x+b x^2)-sqrt(x))/(b x^(3/2)),forx >0i scon t inuou sa tx=0`

Text Solution

Verified by Experts

The correct Answer is:

A, B, C

Topper's Solved these Questions

CONTINUITY
MOTION|Exercise EXERCISE - 3 (PASSAGE BASED QUESTION (21-24))|4 Videos
CONTINUITY
MOTION|Exercise EXERCISE - 4 (LEVEL -I) PREVIOUS YEAR JEE MAIN|4 Videos
CONTINUITY
MOTION|Exercise EXERCISE -2 (LEVEL -II) MIXED PROBLEMS|4 Videos
COMPLEX NUMBER
MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos
DEFINITE INTEGRATION
MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

Similar Questions

Explore conceptually related problems

Determine the values of a,b,c for which the function f(x)={(sin(a+1)x+sin x)/(x) for x 0 is continuous at x=0

Determine the values of a,b,c for which the function f(x)={(sin(a+1)x+sin x)/(x),quad f or x<0c,quad f or x=0(sqrt(x+bx^(2)))/(bx^(3/2)),quad f or x is continuous at x=0

Show that f(x)={(sin3x)/(tan2x3/2,ifx=0),ifx 0i scon t inuou sa tx=0

Determine the value of a ,b ,c for which the function f(x)={(sin(a+1)x+sinx)/x c(sqrt(x+b x^2)-sqrt(x))/(b x^(3/2)) , fx 0

Find the value of a' for which the function f defined by f(x)={a(sin pi)/(2)(x+1),quad x 0 is continuous at x=0

Find the value of a for which the function f defined by f(x)={a(sin pi)/(2)(x+1),x 0 is continous at x=0

If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

The function f(x)=x^(2)"sin"(1)/(x) , xne0,f(0)=0 at x=0

The values of a,b and c which make the function f(x)={{:(("sin"(a+1)x+"sinx")/(x),xlt0),(C,x=0),(sqrt(x+bx^(2)-sqrt("x"))/(b"x"^(3//2)),"x"gt0):} continuous at x=0 are

The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x a)log{(1+x^2 3)}),x!=0 12(log4)^3,x=0 may be continuous at x=0 is 1 (b) 2 (c) 3 (d) none of these

MOTION-CONTINUITY -EXERCISE - 3

If the function f(x)=(3x^2+ax+a+3)/(x^2+x-2) is continuos at x=-2 .Fin...
Text Solution
|
Let f(x)=[(1-sinpix)/(1+cos2pix), x<1/2 and p , x=1/2 and sqrt(2x-1)...
Text Solution
|
If g(x)=(1-a^x+x a^xloga)/(x^2*a^x), x<0 ((2a)^x-xlog(2a)-1)/(x^2), x...
Text Solution
|
Let [x] denote the greatest integer function & f(x) be defined in a ne...
Text Solution
|
Let f(x) = [{:((pi/2.sin^(-1)(1-x^(2))sin^(-1(1-{x})))/(sqrt(2((x)-(x)...
Text Solution
|
Find all possible values of a and b so that f(x) is continous for all ...
Text Solution
|
Draw the graph of the function f(x) = x - |x - x^(2)|, -1 le x le 1 an...
Text Solution
|
Discuss the continuity of 'f' in [0, 2], where f(x) = {{:(|4x - 5|[x],...
Text Solution
|
let f(x)=(lncosx)/{(1+x^2)^(1/4)-1} if x > 0 and f(x)=(e^(sin4x)-1)/(l...
Text Solution
|
Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof)...
Text Solution
|
The function f(x)= ((2+ cos x)/(x^(3) sin x)-3/x^(4)) is not defined a...
Text Solution
|
The function f(x) = [{:((6/5)^(tan 6x)/(tan 5x), if, 0 lt x lt pi/2),(...
Text Solution
|
Determine a & b so that f is continuous at x = pi/2 whre f(x) = [{:(...
Text Solution
|
Determine the values of a , b , c for which the function f(x)={(sin(a+...
Text Solution
|
If f(x) = (Sin 3x + A sin 2x + B sinx)/x^5 for x != 0is continuous a...
Text Solution
|
A function f: RvecR is defined as f(x)=(lim)(nvecoo)(a x^2+b x+c+e^(n ...
Text Solution
|
Given the function g(x) = sqrt(6-2x) and h(x) = 2x^(2) - 3x + a. Then ...
Text Solution
|
f(x) = {{:((a^(sin x)-a^(tanx))/(tan x-sin x), "for",x gt 0),((ln(1+x+...
Text Solution
|
let f(x)=x^3-x^2-3x-1 , g(x)=(x+1)aand h(x)=f(x)/g(x) where h is a rat...
Text Solution
|