Calculus - limits

Question 1

Which curve do you use for the following:
lim F(x)
x approaches -5-

Answer 1

use the curve from the left

Question 2

which curve do you use for the following:
lim F(x)
X approaches -5+

Answer 2

use curve from the right

Question 3

What is the general rule for limits

Answer 3

lim f(x) = a
x approaches -x-
lim f(x) = a
x approaches -x +
lim F(x) = a

These all must equal each other

Question 4

if the limit of f(x) from either side does not match what do you have

Answer 4

limit does not exist

Question 5

If f(x) is on a solid line or solid dot what do you have

Answer 5

the answer otherwise it is undefined

Question 6

What are types of discontinuities

Answer 6

1. hole
2. jump
3. asymptote

Question 7

What type of discontinuity is a an asymptote

Answer 7

Infinite
(- infinity) (+ infinity)

Question 8

What type of discontinuity is a hole

Answer 8

removable because we can change it to fill in the hole by redefining the function

Question 9

What are the restrictions for the denominator

Answer 9

it cannot be zero

Question 10

If you can factor out the denominator then what do you have

Answer 10

a hole