Tweaking the Harmonic

Calculus Level 1

It is known that the harmonic series

\[ 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} +\cdots \]

diverges. What about if we only took every tenth term; does it still diverge?

\[ \frac{1}{10} + \frac{1}{20} + \frac{1}{30} + \frac{1}{40} + \cdots \]

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