Caro I and Fiore's Scribe (May 22)

Today in class we continued with the topic of Limits, and we learnes about one trick which makes it easier for us to solve the problems.
First we did our daily POD:

Tn = 1/n


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Some of these don’t really work for sequences. It’s better to change it as this kind of statement: F(X) = 1/x. This way you can think of it as a function.

Answers for the POD:
a. One way to know the answer to this question is by making a chart. Here you plug in any values, better if they are big numbers, for the variable n. Then in the equation Tn= 1/n replace n for each of the numbers to get Tn.


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In this case we notice that any huge number plugged in for n will make n and tn decrease in a way that it’s getting closer to 0.
So the limit of tn as n approaches to infinite is cero.

In a graph is would look like this:
- Here you can see how the dots plotted are tending to go near y= 0.

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The limit is 0, because is approaching to 0, every time a big number is plug in.
Both are negative, so in terms of a graph it would be on the 3rd quadrant.

.

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c.

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This numbers are not approaching infinity. They do not exist (DNE). This is because this problem could have two different limits and limits only exist when it’s approaching certain place by just one way.
(It is not important this year, in calculus we need to now a lot about one sided limits)

After the POD, we talked about a Limit Trick and did two problems.

(This is not on tomorrows quiz)

• the limit trick applioes only when X + or - infinite
• Multiply top and bottom by the reciprocal (divide) of the variable raised to the highest power in the denominator.

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In the calculator you can prove this answer by plugging in 6x squared over (3x squared + 7x). The graph will be this one; which as you can notice, the only part that matters is as n goes to infinite. In this case n approaches to 2. y= 2.

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The second problem:

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Tomorrow Quiz will cover:
· Sequences
· Series
· Limits


In the scribes, many people were just posting information without any explanation. If you want to correct yours, look at Nabil and Mac’s scribe because they had a very nice explanation for people who really don’t understand the topic.

THEIR IS NO NEW HOMEWORK

- If you have any doubts or problem understanding our scribe post a comment or talk to us and we'll clear up everything. We hope you like it and that it is useful for your exams.

The next scribe must me done by SUSUAN KEQUERICA Y SOFIA NAVAS.