1.5 Infinite Limits If Then x = a is a VA of f (x).

If ,then it is an Indeterminant Limit. 1.5 Infinite Limits If , then x = a is a VA. If ,then it is an Indeterminant Limit.

Ex 1: Determine all Vertical Asymptotes

Ex 2: Evaluate

1.5 pg. 88 #1 – 7 odds, #9 – 25 EOO, #29 – 47 odds

3.5 Limits at Infinity If Then y = L is a HA of f(x).

degree of NUM = degree of DEN 3.5 Limits at Infinity degree of NUM = degree of DEN Limit =

degree of NUM < degree of DEN 3.5 Limits at Infinity degree of NUM < degree of DEN Limit = 0

3.5 Limits at Infinity degree of NUM > degree of DEN. Limit DNE because it increases infinitely.

Ex 1: Evaluate

Ex 2: Identify the infinite limits, limits at infinity, & asymptotes *see graph.

Ex 3: Find the VA’s & HA’s of f(x).

Ex 4: Evaluate

Ex 5: Evaluate

Ex 6: Sketch the graph by finding intercepts and limits:

3.5 pg. 205 #3 – 8 all, #9, 13, 15, 17, 19, #21 – 33 EOO, #35, 37, 41, 45