3 years ago

I Need help with this. I'm struggling :/

Mathematics

1 answer:

Setler [38]3 years ago

7 0

The answer to this question would be 1.) D
2.) B, 3.)C

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After slowing down, the dragons could fall behind on their journey. What do the dragons need to do in order to ensure that their

liberstina [14]

The dragons would have to speed up to balance out the time that they slowed down.

The instantaneous rates of changes are all the individual speeds at given times. If you have some that are slow, you will need to have just as many that are fast to balance it out and ensure they have the correct average speed.

6 0

2 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.