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Limit at + ∞ or - ∞ of a sequence on a real interval, I, can be determined by comparison with two other functions whose limit is easily calculated.

This animation provides an illustration of the squeeze theorem applied to functions.

**Click** then **slide** the horizontal lines.

- To know how to express and to apply the squeeze theorem for studying the limit of a sequence in infinity.
- To know how to express and to apply the comparison theorem for studying the limit of a sequence in infinity.

The squeeze theorem for sequences reads similarly to the squeeze theorem for functions. It allows us to study the limit at + ∞ (resp. - ∞) of a sequence that satisfies one of the following…