Expii

# Examples of Comparing Limits - Expii

For example, if f(x)≤g(x) for all x close to a, then the limit of f(x) at x=a is less than or equal to the limit of g(x) at x=a (at least if both limits exist). This can be useful if one of the limits is easier to evaluate than the other. This is the rationale behind the squeeze theorem.