What is the sum from n=0 to infinity of 1-1/n ?

The sum from n=0 to infinity of 1-1/n is diverges

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sum from n=0 to infinity of 1-1/n

n = 0 \sum \infty 1 - \frac{1}{n}

diverges

Solution steps

n = 1 \sum \infty 1 - \frac{1}{n}

Apply Series Divergence Test:

diverges

= diverges

n = 1 \sum \infty \frac{2}{n} - \frac{2}{n + 1}

n = 0 \sum \infty \frac{1}{n ^{2} - 1}

k = 1 \sum \infty k e^{- k}

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

n = 1 \sum \infty \frac{1}{25 n ^{2} + 5 n - 6}

What is the sum from n=0 to infinity of 1-1/n ?
The sum from n=0 to infinity of 1-1/n is diverges