Is it constant?

Is the nth root of n constant?

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Math	Appears 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}`	$\boxed{123}$

Comments

The nth root of n converges to 1...

Lucia and Emma - 2 years, 10 months ago

What is the meaning of converges

Mohammad Farhat - 2 years, 10 months ago

When a sequence converges, that means that as you get further and further along the sequence, the terms get closer and closer to a specific limit, in this case 1. (calculus 1 or 2 might help)

Lucia and Emma - 2 years, 10 months ago

@Lucia and Emma – Oh. You were talking about limits. People like you help the world be better

Mohammad Farhat - 2 years, 10 months ago

@Mohammad Farhat – Well, learning is what brilliant was made for ;) (I also learned a lot from your posts)

Lucia and Emma - 2 years, 10 months ago

$\large \lim_{n\to\infty} \sqrt[n]{n}$ As $n \to \infty , \dfrac{1}{n} \to 0$ $\implies \large \lim_{\frac{1}{n} \to 0} n^\frac{1}{n}$

$\implies n^0 = 1$

Ram Mohith - 2 years, 10 months ago

Math	Appears 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}`	$\boxed{123}$