Question 95 pts

Mathematics

1 answer:

garri49 [273]2 years ago

5 0

The correct answer is “hasn’t” probably maybe

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The answer to your question is A

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2 years ago

Find the value of x 4x + 3 = -5x + 21

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4x + 3 = -5x + 21

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9x = 18

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2 years ago

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Solve for x. x2 - 2x - 24 = 0 -4, -6 -4, 6 2, -6 4, 6 NextReset

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-4,6
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3 years ago

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Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.