Q. 7
Question
As n approaches infinity this sequence of partial sums could either converge meaning that the terms eventually approach some finite limit or it could diverge to infinity meaning that the terms eventually grow without bound. which do you think is the case here and why?
Step-by-Step Solution
Verified Answer
The sequence is convergent.
1Step 1: Given information
We are given a sequence we are asked whether it is convergent or divergent.
2Step 2: Explanation
As the value of n increases the difference between two consecutive terms is decreasing for a very large n the difference between two consecutive terms is so small that we can neglect it After that we get the same value even for an increasing value of n Hence we say that the sequence is convergent. And here is the case of convergent.
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