If `lim_(x->oo) (a+bsin x - cos x+ce^x)/x^3` exists, find the values of `a, b, c`. Also find the limit

If lim_(x rarr oo)(a+b sin x-cos x+ce^(x))/(x^(3)) exists find the values of a,b,c. Also find the limit

If lim_(x->0) (a + b sin x-cosx + ce^x)/x^3 exists, then the value of a + b + c is

If lim_(x->0) (a + b sin x-cosx + ce^x)/x^3 exists, then the value of a + b + c is

if lim_(x rarr0)(1+a cos2x+b cos4x)/(x^(4)) exists for all x in R and has the value equal to c. Find the value of 3(a+b+c)

The value of a for which lim_(x rarr-2)(3x^(2)+ax+a+3)/(x^(2)+x-2) exists.Also find the value of the limit.

If (lim)_(x->0)(A cos x+B xsinx-5)/(x^4) exists & finite. Find A\ &\ B and also the unit.

lf lim_(x to 0) (sin x)/( tan 3x) =a, lim_( x to oo) (sinx)/x =b , lim_( x to oo)( log x)/x = c then value of a + b + c is

lf lim_(x to 0) (sin x)/( tan 3x) =a, lim_( x to oo) (sinx)/x =b , lim_( x to oo)( log x)/x = c then value of a + b + c is

If lim_(x->oo) f(x) exists and is finite and nonzero and if lim_(x->oo) {f(x)+(3f(x)−1)/(f^2(x))}=3 ,then find the value of lim_(x->oo) f(x)

If lim_(x->oo) f(x) exists and is finite and nonzero and if lim_(x->oo) {f(x)+(3f(x)−1)/(f^2(x))}=3 ,then the value of lim_(x->oo) f(x) is