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Mariana [72]
3 years ago
12

I NEED HELP PLEASEEEE

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0
15 or 16 is the answer
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Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

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2 years ago
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DedPeter [7]

Answer:

1/4=z/20. This deals with adding, subtracting and finding the least common multiple. Overview; Steps; Topics Terms and topics;

6 0
3 years ago
You want to put shingles on the outside walls and solar panel the roof of the barn shown. It costs ​$2.50 for each square meter
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Answer: 975

Step-by-step explanation:

The cost would be 975

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3 years ago
What is 175% of 14.2
LUCKY_DIMON [66]
175% of 14.2 is saying that

1.75(14.2)=24.9

Any questions please just ask. Thank you.
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