If `f(x)={ (acos x+bxsin x+ce ^x-2x)/(x^2) x!=0; 0, x=0` is derivable at `x=0`, then (abc) equals

If f(x) ={{:( (a cos x+bx sin x+ce^(x)-2x)/(x^(2)), xne 0),( 0, x=0):} is differentiable at x=0 , then (a) a+b+c=2 (b) a+b=-4 (c) f'(0)=1/3 (d) a-c=4

If f(x) = (2x+ tanx)/(x) , x!=0 , is continuous at x = 0, then f(0) equals

If f(x) = (2x+ tanx)/(x) , x!=0 , is continuous at x = 0, then f(0) equals

Let f(x)=(e^(x)x cos x-x log_(e)(1+x)-x)/(x^(2)),x!=0 If f(x) is continuous at x=0, then f(0) is equal to

Let f(x) = (e^x x cosx-x log_e(1+x)-x)/x^2, x!=0. If f(x) is continuous at x = 0, then f(0) is equal to

let f(x) = {:{( x^(2) , x le 0) , ( ax , x gt 0):} then f (x) is derivable at x = 0 if

let f(x) = {:{( x^(2) , x le 0) , ( ax , x gt 0):} then f (x) is derivable at x = 0 if

If f(x)=((3x+tan^(2) x)/x) is continuous at x=0 , then f(0) is equal to.

If f(x)=(sin(x^(2)))/(x),x!=0,f(x)=0,x=0 then at x=0,f(x) is