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Question 1

What are the conditions for a function to be continuous at a point?

Answer 1

1) f(c) exists
2) lim x->c f(x) exists
3) lim x->c f(x) = f(c)

Question 2

When does a limit not exist?

Answer 2

1) If the LL does not equal the RL
2) If there is unbounded behavior (VA)
3) If there is oscillating behavior

Question 3

What do you always do first when finding a limit?

Answer 3

Direct substitution

Question 4

If you are finding a limit and you get 0/0, what do you do?

Answer 4

Use dividing out, rationalizing, multiply by the LCD, or use trig rules

Question 5

If you are finding a limit and you get #/0, what do you do?

Answer 5

Use the number line technique, and it’s +-∞

Question 6

When finding the HA or end behavior at +-∞, how do you use the leading term test? plus non-rational

Answer 6

If the power of num > den, divide the leading terms
If the power of den > num, it is 0
If the powers are equal, divide the coefficients of the leading terms
If non-rational, ignore adding and subtracting and simplify or use direct substitution. And if -∞, add a - sign.