Dustin's Holiday Blog 1

First thing i'm going to review for the holiday blogs are limits. Limits are the simplest thing in the world. All you do is plug in what the approaching number is into the equation. Like so:

Ex. 1
lim x+2
x->9001

You simply plug in and your answer is 9003.

But Wait! Theres More.

Sometimes when you plug in, it just doesn't work because you gotta divide by zero. Or some other way you get no solution. In this case, you either have to use a trick-a-majigger or you messed up(in my case i have to use the trick-a-majigger because i dont mess up).

So if this happens: lim x+2/x
x->0

in this case you just take a derivative over the top and put it over the derivative of the bottom which gets you one. and that is your limit.

There is one more thing that could happen with limits. You could get a limit approaching infinity. In that case you have to follow a certain set of rules. You need to check the degree of the top and the bottom then use the following rules:

If top>bottom, lim=infinity
If bottom>top, lim=0
If top=bottom, lim=coefficients

Ex. lim x^2+2/4x^2
x->inf

You take your highest degree coefficients and you get 1/4 as your answer.