in (x->infinity) f(x) wut does infinity stand for
infinity is the concept of a number growing forever without any limit so for instance, we start at 1, go to 2, then jump to 3, ...., eventually we jump to 100, ... etc etc and so on this growth doesn't stop. The growth could be slow or very fast. It doesn't matter the speed of the growth just as long as it keeps growing forever
never stops...
You frequently see it used in fractions so for example in the function \(f(x)=\frac{1}{x}\) as x gets bigger, 1/x gets smaller. So then we find that if x was like as big as infinity, 1/x would be pretty darn near zero!
So we say \[As\phantom{.}x\rightarrow\infty,\phantom{.}\left[f(x)=\frac{1}{x}\right]\rightarrow0\]
Infinity is so large, ever immortal cannot reach there while counting
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