[Math] mathematical symbol for “the value grows”

notation

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.

Best Answer

If you were unaware of the symbolic expression $n\to \infty$, I'm wondering whether your audience will appreciate its use. That said, "as $n\to \infty$" means "as the value denoted by $n$ approaches infinity".

You could use an upwards arrow as Stefan suggested above to be more specific that the value is ONLY increasing (not tending toward infinity through ups and downs but strictly increasing), but such upwards arrows are mostly only used by math people (some engineers would likely not even know what it meant). $n\to\infty$ while less specific is much more commonly understood (everyone who remembers their calculus should have no problem reading is as I wrote above).

That said, you were looking for a math symbol, now you've got a choice of two! Have fun!