2 years ago

There are subgroup in the real number system. A10, B5 ,C3,D4

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

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Use the Ratio Test to determine whether the series is convergent or divergent. [infinity] n! 112n n = 1 Identify an. Correct: Yo

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Answer:

Step-by-step explanation:

Recall that the ratio test is stated as follows:

Given a series of the form $\sum_{n=1}^{\infty} a_n let L=\lim_{n\to \infty}\left|\frac{a_{n+1}}{a_n}\right|$

If L<1, then the series converge absolutely, if L>1, then the series diverge. If L fails to exist or L=1, then the test is inconclusive.

Consider the given series $\sum_{n=1}^{\infty} n! \cdot 112n$ . In this case, $a_n =n! \cdot 112n$ , so , consider the limit

$\lim_{n\to\infty} \frac{(n+1)! 112 (n+1)}{n! 112 n} = \lim_{n\to\infty}\frac{(n+1)^2}{n}$

Since the numerator has a greater exponent than the numerator, the limit is infinity, which is greater than one, hence, the series diverge by the ratio test

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3 years ago

In this discussion, you will discuss the relationships of key points on the unit circle. For the key points shown in the four qu

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2 years ago

Write 4 216 in expanded form

joja [24]

Answer:

4000+200+10+6

Step-by-step explanation:

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2 years ago

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There are two dogs for every three cats. That means there are 2/3 as many_____ as___ .

Fynjy0 [20]

Answer: There are two dogs for every three cats. That means there are 2/3 as many dogs as cats

Step-by-step explanation: I don't really know i'm just using my small brain. Sorry if it is wrong.

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3 years ago

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Noha, Sarah, and Karima are sisters. Noha is 3 years older than Sarah.

Virty [35]

Answer:

25 years old

Step-by-step explanation:

karima is 20 years old

Sarah is 2 years older than karima (20+2= 22)

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2 years ago