SQUEEZE THEOREM CALCULATOR HOW TO

Assume that L and M are real numbers such that lim x → a f ( x ) = L lim x → a f ( x ) = L and lim x → a g ( x ) = M. Let f ( x ) f ( x ) and g ( x ) g ( x ) be defined for all x ≠ a x ≠ a over some open interval containing a. These basic results, together with the other limit laws, allow us to evaluate limits of many algebraic functions.

The first two limit laws were stated in Two Important Limits and we repeat them here.

These two results, together with the limit laws, serve as a foundation for calculating many limits. We begin by restating two useful limit results from the previous section. In the Student Project at the end of this section, you have the opportunity to apply these limit laws to derive the formula for the area of a circle by adapting a method devised by the Greek mathematician Archimedes.

SQUEEZE THEOREM CALCULATOR HOW TO

In this section, we establish laws for calculating limits and learn how to apply these laws. In the previous section, we evaluated limits by looking at graphs or by constructing a table of values.

2.3.6 Evaluate the limit of a function by using the squeeze theorem.

2.3.5 Evaluate the limit of a function by factoring or by using conjugates.

2.3.4 Use the limit laws to evaluate the limit of a polynomial or rational function.

2.3.3 Evaluate the limit of a function by factoring.

2.3.2 Use the limit laws to evaluate the limit of a function.

Squeeze theorem calculator