Tuesday, 16 April 2019

sequences and series - Find the converging limit?




I'm trying to solve this problem from the text but I can't seem to figure out how to exactly approach it. It says,




Find the limit of the convergent sequence,
(21)n as n goes from 1 to




I'm assuming I have to find the value of the sequence as n goes to infinity by applying the limit, but since its to the power n, I'm having bit of a trouble simplifying it. Please correct me if I'm wrong.


Answer




Note 0<21<1. What do you know about rn if |r|<1?


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