What is the sum from k=2 to infinity of 1/(sqrt(k)) ?

The sum from k=2 to infinity of 1/(sqrt(k)) is diverges

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sum from k=2 to infinity of 1/(sqrt(k))

k = 2 \sum \infty \frac{1}{k}

diverges

Solution steps

k = 2 \sum \infty \frac{1}{k}

Apply p-Series Test:

diverges

= diverges

n = 2 \sum \infty n sin (\frac{10}{n})

n = 1 \sum \infty (\frac{3}{π})^{n}

n = 1 \sum \infty n \cdot (\frac{1}{2})^{n}

n = 1 \sum \infty \frac{1}{3 + 4 ^{- n}}

k = 1 \sum \infty 5 (- \frac{1}{6})^{5 k}

What is the sum from k=2 to infinity of 1/(sqrt(k)) ?
The sum from k=2 to infinity of 1/(sqrt(k)) is diverges