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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…
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