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In this video I go over determining where a function, that is given in the form of a limit as n approaches infinity, is continuous. I solve this by using the problem-solving strategy of taking cases, in this case where the absolute value of x is less than 1, equal to 1, and greater than 1. Using our limit laws, as well as our previous r^n series, I show that the function is continuous for all values of x except at +/- 1.
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