1. Getting There From Here
Limits and Continuity
Getting There From Here
1/18/2019 rd

2. Limit of a Sequence
1 3/2 5/3 7/4 9/5 11/6 … 2 – 1/n, … limit  2 but the sequence does not contain 2. On the other hand the sequence 1 ½ 1 ¾ 1 5/6 1 6/7 …has 1 as a limit and contains 1
1/18/2019 rd

3. Limit of a Function
1 3/2 5/3 7/4 9/5 11/6 … 2 – 1/n  2 As x  2, f(x) = x2  4 1 9/4 25/9 49/16 81/25 121/36  4 Find limits of 1 ½ 1/3 ¼ 1/5 … 1/n /3 7/2 17/5 … 3 + 2/n ½ ¼ 1/8 1/16 1/32 …
1/18/2019 rd

4. /2
Some famous limits
1/18/2019 rd

5. Limit of a Sequence
1 + ½ + ¼ + 1/8 + 1/16 + … (+ 1 1/2 1/4 1/8 1/16 1/32 1/64 1/128 1/256 1/512 1/1024)  1.999
1/18/2019 rd

6. Finding a Limit
Find
1/18/2019 rd

7. Limit
Find the limits
1/18/2019 rd

8. L'Hospital's Rule
Applies to Indeterminate Forms
1/18/2019 rd

9. e
Evaluate
1/18/2019 rd

10. Continuity
f is continuous at x = a if
1/18/2019 rd