Determine a and be, so that limit as "x" approaches 0 F(x)= (e^x+a*cos(x)+b*sinx())/(x-ln(x)) exists.

Answer 1

lim x → 0 (e^x + acosx + bsinx)/(x - lnx) = (e⁰ + acos0 + bsin0)/(0 + ∞) = (1 + a)/∞ = 0 for all a and b