I was playing around with my calculator before finding out it has a graph feature, I inputted X^∞ and it came up with a straight line from -1 to 1, Im curious as to why it does this.
In: 2
Take a few scenarios. Starting at x^1 and then going to x^2 then x^10 and so on.
You can see that anything above 1 or below -1 quickly grows in magnitude off towards an infinity. Anything between -1 and 1 approaches zero. Taken to the extreme, we’d expect y=0 when -1<x<1. The result is a line where y=0 from x=-1 to 0.
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