If `f(x)={{:(a+bcosx+csinx)/x^2,,xgt0), (9,,xge0):}}` is continuous at x = 0 , then the value of `(|a|+|b|)/5` is

if f(x) ={{:((8^(x)-4^(x)-2^(x)+1)/(x^(2)),xgt0),( x^(2) , x le 0):} is continuous at x=0 , then the value of lamda is

If f(x)=(4+sin2x+a sinx+Bcosx)/(x^(2)) for x!=0 is continuous at x=0 , then A+B+f(0) is

If f(x)={{:(e^(2x^(2)+x),":",xgt0),(ax+b,":",xle0):} is differentiable at x=0 , then

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'.

If f(x)={{:(x+sinx,"when "xlt0),(0,"when "xge0):} examine whether f(x) is continuous at x = 0.

Let f(x)={{:((sin(a+1)x+sinx)/(x)",","when " xlt0),(" c,","when "x=0),(((x+bx^(2))^((1)/(2))-x^((1)/(2)))/(bx^((3)/(2)))",","when "xgt0):} If f (x) is continuous at x =0 , determine the values of a , b and c .

If the function f(x)={{:(asqrt(x+7),":",0lexlt9),(bx+5,":",xge9):} is differentiable for xge0 , then the value of 5a+6b is equal to

If the function f(x)={{:(asqrt(x+7),":",0lexlt9),(bx+5,":",xge9):} is differentiable for xge0 , then the value of 5a+6b is equal to