A student uses a numerical table to investigate

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

Problem

\displaystyle\lim_{x\to 5}f(x)

. Which observation from the table provides the strongest evidence that the two–sided limit exists? (a) The value of

f(5)

equals the number that nearby function values seem to approach. (b) Values of

f(x)

to the left of 5 approach one constant while values to the right approach a different constant. (c) Values of

f(x)

on both sides of

x=5

approach the same finite number as

x

gets closer to 5. (d) Values of

f(x)

only for

x>5

approach a constant, regardless of what happens for

x<5