Question

( f(x)=frac{x(1+a cos x)-b sin x}{x^{3}} )
( left.f(x)right|_{0=0}=1 ) and continous,
Apply L'Hospita Rule,
( f(x)=frac{x+a x cos x-b sin x}{x^{3}} )

# Let F(x)40 x(1-acosx) - bsin x o and f(0)=1. The value of a and b so that fis a continuous function are :

Solution