Consider a function whose graph behaves as follows near : • For values just less than

MATHEMATICS · Multi-part · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Consider a function

f

whose graph behaves as follows near

x=1

: • For

x

values just less than

1

f(x)

is very close to

2

. • For

x

values just greater than

1

f(x)

is very close to

4

. (i)

\displaystyle\lim_{x\to1^-}f(x)

(ii)

\displaystyle\lim_{x\to1^+}f(x)

(iii) Existence of

\displaystyle\lim_{x\to1}f(x)

with reason