Notes: 12-3 Infinite Sequences and Series EXAMPLE 1:

EXAMPLE 2:

The terms are getting closer to zero ↓ EXAMPLE 3: The terms are getting closer to zero ↓ Given sequence: Therefore:

EXAMPLE 4 Evaluate:

EXAMPLE 5 Evaluate:

EXAMPLE 6 Evaluate: d.n.e = does not exist so the limit dne

EXAMPLE 7 Evaluate: *Cannot split apart because denominator doesn’t have a single term. *Divide each term by highest power of n. 7

EXAMPLE 7 continued Evaluate: 8

Write as a fraction: 0.63 EXAMPLE 8 HINT: Rewrite as a geometric series, then find the sum.

A reminder from 12-2 notes: (also on your formula sheet) , if