यदि
` f ( x ) = {{:( (sin (a + 1) x + 2 sin x ) /( x ),",", xlt 0 ), ( 2, ",", x = 0 ), ( (sqrt( 1 +bx)- 1 )/( x ),",", x gt 0 ):}`
` x = 0 ` पर सतत है, तब a व b के मान ज्ञात कीजिये |

Let f(x)={{:((sin(a+1)x+sinx)/(x)",",xlt0),(c",",x=0),((sqrt(x+bx^(2)))/(bx^((3)/(2)))",",xgt0):} If f(x) is continous at x = 0, then

IF f(x) = {{:( (1)/(2) sin ^(2) x , "for " x ne 0 ),( 0,"for " x=0 ):},then at x=0

If f(x)={{:((sin(a+1)x+2sinx)/x", "xlt0),(2" ,"x=0),((sqrt(1+bx)-1)/x" ,"xgt0):} is continuous at x = 0, then find the values of 'a' and 'b'.

f(x) = {{:(x^(2)sin'1/x, if x ne 0),(0, if x = 0):} at x = 0 .

f(x) = {{:(x^(2)sin'1/x, if x ne 0),(0, if x = 0):} at x = 0 .

Let F (x) = [{:(cos x , -sin x , 0),(sin x , cos x , 0),(0 , 0, 1):}] , then

If f(x) is continuous at x=0 , where f(x)={:{((sin (a+1)x+sin x)/(x)", for " x lt 0),(c", for " x=0),((sqrt(x+bx^(2))-sqrt(x))/(b sqrt(x))", for " x gt 0):} , then

A function f is defined by f(x)= {{:((sin (a + 1) x + sinx)/(x)" if " x lt 0),(c " if " x = 0),(((x + bx^(2))^(1/2)- x^(1/2))/(bx^(3/2)) " if " x gt 0 ):} It f(x) is continuous at x = 0 , find the values of a,b and c .