A. Limits and Continuity

Question 1

A limit exists when

Answer 1

Left hand limit = right hand limit

Question 2

Evaluating Limits 1)

Answer 2

direct substitution = # = DONE

Question 3

Evaluating Limits 2)

Answer 3

Direct substitution = #/0 = DNE or V.A

Question 4

Evaluating Limits 3)

Answer 4

inf/inf = H.A = use top heavy, BOBO, or equal

Question 5

Evaluating Limits 4)

Answer 5

0/0 = factor and cancel OR simplify complex fractions OR rationalize square root OR indeterminate

Question 6

f is continuous at c if

Answer 6

1. f(c) is defined)
2. limit f(x) when x approaches c exists
3. limit f(x) when x approaches c and f(c) are equal