This week in calculus was pretty much a review week. We worked on the six review packets given to us for the exam. They helped me to understand some of the things I wasn't very clear on at the beginning of the nine weeks such as limits and tangent lines.
For limits, I was always so confused on how to figure out what the the limit was as it went to a certain number. I knew that one way to figure out the limit was to plug the number into x, but most of the time when I did this, the denominator of the limit would turn out to be zero, which left the limit undefined. I also knew that I could factor out my limit and maybe cross some things out, but sometimes this wouldn't work. This week I finally understood how to see what a certain limit is approaching using a table.
To see what the limit is approaching using a calculator, you use these steps:
1. Plug the limit equation into y= in your calculator
2. Go to your table function in your calculator and start plugging in values for the left and right of the number
3. When plugging in values, you will see the values will come very close to a particular number. This is your answer.
I also understood tangent lines. If an equation and an x value are given to you and the problem asks for a tangent line equation, you use these steps:
1. Plug the x value into your origional function to get your y value
2. Take the derivative of your function and plug your x value in to get your slope
3. Once you have an x value, a y value, and a slope, plug they all into point-slope form
I don't really have any questions this week except in need more help on my packets?
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