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10.2 Sequences Math 6B Calculus II. Limit of Sequences from Limits of Functions.

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Presentation on theme: "10.2 Sequences Math 6B Calculus II. Limit of Sequences from Limits of Functions."— Presentation transcript:

1 10.2 Sequences Math 6B Calculus II

2 Limit of Sequences from Limits of Functions

3 Limit Laws for Sequences

4 Monotonic Sequence

5 Bounded Sequence A sequence {a n } is bounded above if there is a number M such that It is bounded below if there is a number m such that If it is bounded above and below, then {a n } is a bounded sequence.

6 Geometric Sequence

7 Limit Laws and Squeeze Theorem Squeeze Theorem for Sequences Theorem

8 Monotonic Sequence Theorem Every bounded, monotonic sequence is convergent.

9 Limit of a Sequence

10

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