A problem I found in chapter sequences:
Find lim[(n^2)/(5^n)], as n natural approaches infinity without using De L'hopital rule
I really don't know how to do it
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Oct 18, 2019
· Edited: Oct 18, 2019Sequences, find lim without DLH.. help
Sequences, find lim without DLH.. help
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I think it has something to do with the sequence being strictly monotone decreasing so the limit exists. But actually finding the limit can be challenging. In this case, the denominator is an exponential and it will swamp any polynomial in the numerator so the limit is 0. I know that's not very rigorous, but it's the best I can do.