2 years ago

Which expression is equal to 1/8000 written in scientific notation?

Mathematics

1 answer:

Shkiper50 [21]2 years ago

5 0

Since 1/8000 is 0.000125, we can move the decimal 4 terms to the right.

So that will be 1.25 • 10^-4
Choice B

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

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We compute

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

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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.