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The terms of the sequence are very small for large values of n.PowerPoint Presentation

The terms of the sequence are very small for large values of n.

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### Unit 5 – Series, Sequences, and LimitsSection 5.3 – Limits of Infinite SequencesCalculator Required

The terms of the sequence are very small for large values of n.

The terms are clustered very close to zero for large n,

but zero is not a term of the sequence.

Zero is the limit of the sequence.

The sequence is said to converge to zero.

Each term of the sequence is three greater than its predecessor.

For large values of n, the terms are large.

There is no number about which the terms of the sequence cluster.

The sequence has no limit; it is said to diverge.

The terms of the sequence are very small for large values of n.

The terms are clustered very close to zero for large n,

but there are terms to the left and right of zero.

Zero is the limit of the sequence.

The sequence is said to converge to zero.

The terms of the sequence are very close to 3 for large values of n.

The terms are clustered very close to three for large n,

but three is never a term.

Three is the limit of the sequence.

The sequence is said to converge to three.

Even terms seem to approach 2. Odd terms seem to approach -2

The terms are clustered very close to two different values,

but there is not a SINGLE value..

There is no limit of the sequence.

The sequence is said to diverge.

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