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

2. EXAMPLE 2:

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

4. EXAMPLE 4
Evaluate:

5. EXAMPLE 5
Evaluate:

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

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

8. EXAMPLE 7 continued
Evaluate: 8

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

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