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Find out if the following series is convergent or divergent.
Solution
There really is not very much to these problems another than calculating the limit and then using the root test. Here is the boundary for this problem.
Thus, by the Root Test this series is divergent.
A two-digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the original number. Find the original number.
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