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tester [92]
3 years ago
5

HELP ME ASAP I NEED HELP PLEASE

Mathematics
1 answer:
Triss [41]3 years ago
7 0

the answer you look for is EF

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Determine whether the sequence converges or diverges. if it converges, find the limit. (if an answer does not exist, enter dne.
Arada [10]

The sequence a_n=\frac{n^2}{n^3+5n} diverges.

For given question,

We have been given a sequence a_n=\frac{n^2}{n^3+5n}

We need to determine whether the sequence converges or diverges.

From given sequence we have, a_{n+1}=\frac{(n+1)^2}{(n+1)^3+5(n+1)}

We use Ratio Test.

According to Ratio Test, r=\frac{a_{n+1}}{a_n}, where sequence converges if and only if |r| < 1.

Consider,

\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |\\\\= \lim_{n \to \infty} |\frac{\frac{(n+1)^2}{(n+1)^3+5(n+1)}}{\frac{n^2}{n^3+5n}} |\\\\\\= \lim_{n \to \infty} |\frac{(n+1)^2(n^3+5n)}{n^2[(n+1)^3+5(n+1)]} |\\\\=\infty

Since \lim_{n \to \infty} |\frac{a_{n+1}}{a_n} | is not defined, the sequence a_n=\frac{n^2}{n^3+5n} diverges.

Therefore, the sequence a_n=\frac{n^2}{n^3+5n} diverges.

Learn more about the sequence here:

brainly.com/question/17175513

#SPJ4

4 0
2 years ago
How many ways can 5 books be arranged on a shelf
Zielflug [23.3K]
There are very many ways to this!
We can have horizontal, vertical, some can be laying down wile others are standing up, some could be standing up and the others layed down on top of them etc.
but in this case it would be 120 ways. 
3 0
3 years ago
What is 3 times the sum of a and b? <br><br> This needs to be written as an algebraic expression!
igomit [66]

(b+a)3 hope this helps

5 0
3 years ago
What’s 60 divided by 10
hram777 [196]

Answer:

6

Step-by-step explanation:

60/10=6

7 0
3 years ago
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Which equation can be solved to find one of the missing side lengths in the triangle?
frutty [35]
I think the equation would be either a perimeter equation or a volume equation.

P=a+b+c  (For a two-dimensional figure)
V=1/3 Bh (For a three-dimensional figure)
7 0
4 years ago
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