Why does x^infinity equal a straight line in graphing

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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.

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Anonymous 0 Comments

any number between -1 and 1 gets smaller when multiplied by itself. if you were to multiply any of these numbers by themselves infinitely many times, you would get zero. so the result is a flat line with height at zero

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