Using "p" -series test, the series "\\sum_{n=1}^{\\infin}(\\frac{1}{n^p})" converges/diverges if,
1) "p>1" , the series converges.
2) "p<1" , the series diverges.
Consider the series "\\sum_{k=1}^{\\infin}(\\frac{1}{k^7})"
Here, "p=7>1" satisfies the first condition.
Therefore, the series converges using "p" -series test.
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