Provide an appropriate response.Given that 0 < x < 1 and xn = y, explain why as n becomes larger, y becomes closer to 0.
What will be an ideal response?
Answers may vary. One possibility: Since 0 < x < 1, it can be rewritten as 
, where a > 1. Thus, xn = 
n = 
. As n becomes larger, the denominator becomes larger, and thus the expression becomes closer to 0. Therefore, as n becomes larger, xn (or y) becomes closer to 0.
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