What is the sum from t=0 to infinity of 1/(t^{0.51)} ?

The sum from t=0 to infinity of 1/(t^{0.51)} is diverges

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sum from t=0 to infinity of 1/(t^{0.51)}

t = 0 \sum \infty \frac{1}{t ^{0.51}}

diverges

Solution steps

n = 1 \sum \infty \frac{1}{n ^{0.51}}

Apply p-Series Test:

diverges

= diverges

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What is the sum from t=0 to infinity of 1/(t^{0.51)} ?
The sum from t=0 to infinity of 1/(t^{0.51)} is diverges