Question

please do the work on your own without notes on your first attempt. this will give you a good idea of how well you know the material. after that, you may continue to work on it with classmates and/or notes.
the questions on this homework assignment are meant to prepare you for in - class assessments.
but be aware: this assignment is set up to be auto - graded so you have immediate feedback. the other assessments will be graded by humans, so the question formats will not be exactly the same. on in - class assessments, you will be asked to write sentences and/or show your work on some questions. check the practice packets for examples of these types of problems.
conventions for numerical estimation:

• keep two more decimal points than the accuracy required and use as many estimates as necessary until the output values remain constant three times.
• if the output values seem to increase or decrease without bound (in other words, the limit is ∞ or -∞), use at least four estimates to establish the pattern of unbounded growth or decline.

1 fill in the blank 2 points
please use the drop down menus provided below to communicate what inputs you would use to numerically estimate the following limit:
lim(x→5) (x² - 6x + 4)/(x - 5)
do not actually calculate the limit. this problem is only testing that you know how to select the appropriate inputs for your table.
x→5⁻ (x² - 6x + 4)/(x - 5)
choose your answer_
choose your answer_
choose your answer_

Explanation:

Step1: Understand left - hand limit concept

We are finding the left - hand limit as $x\to5^{-}$, which means values of $x$ that are less than 5 but getting closer to 5.

Step2: Select appropriate values

We can choose values such as $x = 4.9$, $x=4.99$, $x = 4.999$. These values approach 5 from the left - hand side.

Answer:

For the $x\to5^{-}$ column, possible answers could be 4.9, 4.99, 4.999 (in the dropdowns).