Question

How do you do this question?

Answer 1

4 Answers: A, C, E, and F

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Step-by-step explanation:

Choice A is true assuming we have
`a_n = (-1)^n*b_n`

In this case,
`a_n = (-1)^n*(1)/(√(n))` and
`b_n = (1)/(√(n))`

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Choice B is false. See choice A above.

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Choice C is true. The sequence
`\{b_n\}` is decreasing. As n gets larger,
`b_n` gets smaller. This is because the denominator is growing larger with the numerator held constant.

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Choice D is false. This contradicts choice C.

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Choice E is true since the denominator is growing forever

This is similar to
`\displaystyle \lim_(n \to \infty) (1)/(n) = 0`

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Choice F is true due to choices C and E being true.

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Choice G is false because it contradicts choice F.