The Squeeze Theorem

Learning Objectives

Squeeze Theorem Statement

g(x) \leq f(x) \leq h(x)

for all

x

in an open interval containing

c

(except possibly at

c

), and if:

\lim_{x \to c} g(x) = \lim_{x \to c} h(x) = L

then

\lim_{x \to c} f(x) = L

Limits and Continuity

15 MIN READ ADVANCED

Learning Objectives

Squeeze Theorem Statement

g(x) \leq f(x) \leq h(x)

for all

x

in an open interval containing

c

(except possibly at

c

), and if:

\lim_{x \to c} g(x) = \lim_{x \to c} h(x) = L

then

\lim_{x \to c} f(x) = L