Limits

Question 1

Change to radians.

Answer 1

Tip

Question 2

First always try _ to see limit.

Answer 2

Graphing

Question 3

To solve algebraically, plug in what _ _.

Answer 3

X approaches

Question 4

Piecewise functions

• Write f(x)={regular and regular with –(x portion)
• Solve for x in x portion
• _ _ number to see whether < or >
• The equal to can go on either < or >

Answer 4

–(x portion), plug in

Question 5

If you algebraically solve for the limit and it equals _ then infinity and _ then -infinity.

Answer 5

1/0, -1/0

Question 6

If you get _ (undeterminant) then do more work.

Answer 6

0/0

Question 7

Limit only exits if _ = _.

Answer 7

LHL, RHL

Question 8

Asymptotes _ or _.

Answer 8

y=, x=

Question 9

If 1/0 and everything still cancels out, plug in numbers _ and _ to see if or -.

Answer 9

Before, after

Question 10

X^3+y^3

Answer 10

(x+(same sign)y)(x^2-(opposite sign)(x+y^2)

Question 11

If as x approaches then multiply top and bottom by _.

Answer 11

1/x^highest degree

Question 12

Multiplying exponents means _ them.

Answer 12

Adding

Question 13

Make sure to put everything into parentheses when graphing.

Answer 13

Tip

Question 14

Sin(x)/x

Answer 14

1

Question 15

A limit will always have a _ unless there is an f(x) at the same point.

Answer 15

Closed circle

Question 16

Lim(3f(x))

Answer 16

3lim(f(x))