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Lapatulllka [165]
3 years ago
10

What is the slope?

Mathematics
1 answer:
Zanzabum3 years ago
4 0

Answer:

The slope:

m = \frac{1}{3}

Step-by-step explanation:

-According to the following graph, it show that the line it's going up, that means that the line on the graph shown is positive. So, to find the slope of the line, you need to look for the line that crosses the two grid lines of the graph and use the <u>rise over run</u> to count how far up and how far across, in order to get the slope:

m = \frac{rise}{run}

-Finding the slope of a line:

Rise: 1

Run: 3

m = \frac{1}{3}

So, the slope is \frac{1}{3} .

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Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

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The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

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limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

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Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

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