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Is there a mathematical symbol for "the value grows?"

For example:

This result will be increasingly difficult as the value of n grows to infinity.

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What's wrong with $n \to \infty$? For that matter, what's wrong with "grows to infinity"? – Qiaochu Yuan Oct 2 '12 at 7:11
1  
Nothing wrong with the suggestion you proposed, I was just unaware of it's existance/usage. – Gustavo Bandeira Oct 2 '12 at 7:17
If $(x_n)$ is a sequence, then $x_n\uparrow \infty$ means that $x_n$ tends to infinity increasingly, i.e. $x_n\leq x_{n+1}$ and $x_n\to\infty$. But there is really no need to write $n\uparrow \infty$ because $x_n=n$ is obviously increasing. – Stefan Hansen Jan 5 at 17:23

1 Answer

If the difficulty is $y$ $$\frac{\mathrm d y}{\mathrm dn}>0$$ As $n$ changes by a positive amount , $y$ changes by a positive amount

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