Can someone help ASAP this is missing and destroyed my grade

Mathematics

2 answers:

Dimas [21]3 years ago

8 0

Answer:

Step-by-step explanation:

Use pythagorean theoram(idk the spelling). Basically a^2+b^=c^2 where a and b are the legs of the triangle and c is the hypotenuse. so if we solve it we get 6^2 + (7/4)^2 = c^2

36 + 3.0625 = c^2

39.0625 = c ^2

then you square root both sides which gives you

6.25 = c

which in fraction form is 6 and a 1/4

maria [59]3 years ago

7 0

Answer:

Step-by-step explanation:

6ft plus 1 3/4 is 7 3/4

Sorry for minimum explanation but I hope it helped!

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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.