Hey bloggers! Its me, Shelly, here to blog again for this cycle, including my little ROFL corner. To start things off we have received handouts of the equation that we were working on Friday and had finished yesterday, but there was a problem, some people were a bit confused due to the long 4 day intermission we had and us continuing off were we had left off in the middle of the equation we were working on. So to clear things up we were given hand out that shows us how to solve the equation.

Hand out
page 1
page 2
page 3
page 4

As we head into something new, this handout of Algebraic Limit Rules is handy (which was given to us on Friday)

Limits and Functions
Suppose that limits



exist and let "c" be a constant

CMR (Constant multiple rule)
The limit of a constant times a function is the constant times the limit of the function

lim c f(x) = c lim f(x)

SR (Sum of Function Rule)
The limit of a sum is the sum of the limit

lim (f(x)+g(x)) = lim f(x) + lim g(x)

DR (Difference of Function Rule)
The limit of a difference is the difference of the limits

lim (f(x) - g(x)) - lim f(x) - lim g(x)

PR & QR (Product of Function and Quotient of Functions Rule)

PR: lim (f(x)g(x)) = (lim f(x))(lim g(x)) QR: lim (f(x)/g(x)) = lim f(x)/lim g(x)

Example 1:












Example 2:




















Example 3:















Note:

The limits are the same but the function itself is different, for
f(x) = (x²/x-1 - 1/x-1) there is a discontinuity at x = 1

For more examples similar to these one look at example 2 and 4 in the Algebraic Limit Rules booklet.
Example 2
Example 4

Homework: Exercise 2.7
1-9 (odd)
14-27 (odd)
and 24

And now it is time for the ROFL corner!
Since the last riddle was a tad difficult, I'll give you guys an easier one, which means that you won't need a hint for this one. ;D

How many times can you take 5 out of 25?

And if that one is too easy try this one! (Sorry!! I don't have a hint for this one!)

What belongs to you, but is mostly used by others?

Have fun!

Finally the next scribe will be...... Hi I'm Justice!