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 \frac{1}{1 ^{n}}

diverges

Solution steps

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

Simplify

= n = 0 \sum \infty 1

Every infinite sum of a non-zero constant diverges

= diverges

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x \to 0 lim (\frac{∣ x - 0 ∣}{0 - x})

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