# Unit 12. Unit 12: Sequences and Series Vocabulary.

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Unit 12

Unit 12: Sequences and Series

Vocabulary

Arithmetic Sequences

Geometric Sequences

Unit 12: Sequences and Series

Series

Sigma Notation

Series Shortcuts

Unit 12: Sequences and Series

Informal Definition of a Limit Let f be a function and c be a real number such that f(x) is defined for all values of x near x=c. Whenever x takes on values closer and closer but not equal to c (on both sides of c), the corresponding values of f(x) get very close to, and possibly equal, to the same real number L and the values of f(x) can be made arbitrarily close to L by taking values of x close enough to c, but not equal to c.

Definition of a Limit

Examples 3

1

When Limits Do Not Exist Does Not Exist

When Limits Do Not Exist Does Not Exist

When Limits Do Not Exist Does Not Exist

Limits at Infinity

Examples 6 1

0 0

Unit 12: Sequences and Series

Convergence of a Sequence

Convergence of a Series