Continuity with f′(0) = b

Difficulty: Easy · Topics: Calculus, Continuity

f′(0) = b bilan uzluksizlik

Let f(x) be continuously differentiable with f(0)=0 and f'(0)=b. If

F(x)=begincases(f(x)+asin x)/(x), & x≠ 0\\[8pt] A, & x=0endcases

is continuous at x=0, find A.