Post #12

Calculus Post#12

I can't actually recall much of what we did this week. I was sick for Monday and Tuesday so I'm assuming we might of just reviewed... Anyway, other than that, we took a multiple choice test and free-response from all of derivatives in preparation to start integration soon. Turns out we suck pretty bad with limits...so...

Limit Rules:

When you take the limit as x goes to infinity, the rules are as follows
1) If the degree of the top is larger than the degree of the bottom, its infinity.
2) If the degree of the top is equal to the degree of the bottom, it is the leading coefficient of the top divided by the leading coefficient of the bottom.
3) If the degree of the top is smaller than the degree of the bottom, it is 0.

For limits that ask for the left or right side by using + or - after a number like as x goes to 9+, you either add or subtract (for positive or negative) .1, .01, and .001 and input those values into your calculator. This is used to approximate a value that it is approaching. Remember, you also have to do this if you get a division by 0 or anything like that whenever you plug in for finite limits. You would put it into your calculator and do both the - and + sides and make sure they match at a value, and if they do, that value is the limit.

Also, a trick for limit as x goes to 0 for

sin(ax)
-------
bx

Is simply a/b. This also works for

sin(ax)
-------
sin(bx)

Again, the answer is a/b.


Hope this helps some.