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3 years ago

If a^n=b than a is the n^th root of b. True or false

Mathematics

1 answer:

dem82 [27]3 years ago

7 0

Step-by-step explanation:

yes that's true

if a^n=b

then

a^n/n=b^1/n

a=b^1/n

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mrs_skeptik [129]

Can you add a picture? I don't see a circle. I will answer this question if you add a picture.

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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

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

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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.

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2 years ago

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Answer:

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Step-by-step explanation:

Your welcome!!

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