A function satisfies for all

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

A function

f

satisfies

x^4\leq f(x)\leq x^2+x^4

for all

|x|<1

. Determine

\displaystyle\lim_{x\to0}f(x)

. (a)

\frac12

(b) The limit does not exist (c)

0

(d)

1