Which is smaller -5 or -17?

Mathematics

1 answer:

WINSTONCH [101]3 years ago

3 0

-17 as negative values become less as its debt.

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mihalych1998 [28]

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2 years ago

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Five times a number is the same as two times a number added 21

Vera_Pavlovna [14]

Answer:

Our number is 7.

Step-by-step explanation:

We also know that it's 2x + 21 = 5x.

Now we solve.

21 = 5x - 2x

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3 years ago

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.