prompt unknow number

I’m going to do a throw back as well.
When doing limits at infinity you do: 1. if the degree of the top=0 bottom
you divide the coefficients.

2. if the top of the degree is greater it equals
positive or negative infinity. plug in large value
to see if it is negative or positive.

3. if the top degree is less than the bottom
degree it equals zero

if it is not a fraction use a table. plug in 100,
1000,10000 until you see a pattern.
here is an example:
lim 2x+5/3x^2+1= 0
x-->infinity
the answer to this problem is zero because
the top degree is less than that of the
bottom degree! function is contionuous or there is a
discontinuity.
-a function is continuous is it does not contain
one of the four types of discontinuities.
-to be continuous a function must have a limit
at every point on the interior and be defined at
the limit of the point.

here are the four types of discontinuities to
look for:

1. removable- when the graph is not defined at a
point. (open circle).
- the limit exists

- the function is conti uous everywhere except
at that point. therefore, if we are talking about
the function as a whole we say that it is not
continuous.

2. jump
- the limit does not exist

- the function is continuous everywhere except
at the jump. it is not continuous as a whole.

3. infinate- an asymptote
- the limit may or may not exist

- the function is continuous everywhere except
at the asymptote. it is not continuous as a
whole.

4. oscillation- an extreme oscillating graph
- the limit does not exist

- the function is not continuous.