×

# Is this correct?

$\sqrt[\infty]{n} =1$ where $$n$$ belongs to Natural numbers .

1 year, 5 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

\begin{align} \sqrt[\infty]{n}&=\lim_{k \to \infty} n^{\frac{1}{k}}\\ &=n^{\lim_{k \to \infty} \frac{1}{k} } \\ &=n^0\\&=1 \quad \forall n \in \mathbb{N} \end{align}

- 1 year, 5 months ago

Exactly !!! :)

- 1 year, 5 months ago

Can you please suggest me some Number Theory Books, I m a beginner & want to learn from basics to advanced , ! @Chinmay Sangawadekar

- 1 year, 5 months ago

Try Elementary NT by David Burton

- 1 year, 5 months ago

Ok thank you very much , is it good for the very basics to advanced level & for olympiads?

- 1 year, 5 months ago

The same way I did , its crct!

- 1 year, 5 months ago

I think it is true.$$n^{\frac{1}{\infty}}$$
Since $$\frac{1}{\infty}=0; n^0=\boxed 1.$$

- 1 year, 5 months ago

Yup . more standard solution is provided by Deepraj :)

- 1 year, 5 months ago

yup, he is far better than me!!

- 1 year, 5 months ago