Mathematics

Problem

The antiderivative of

f(x)=2x

is the family

F(x)=x^{2}+C

. Which of the following single additional pieces of information is sufficient to identify the unique function

F

in this family? a) The value of

F'(0)

. b) The fact that

F

is an even function. c) The value of

F(0)

. d) The limit

\displaystyle \lim_{x\to\infty}\frac{F(x)}{x}