What is the sum from n=0 to infinity of 3/(5^n)+2/n ?

The sum from n=0 to infinity of 3/(5^n)+2/n is diverges

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sum from n=0 to infinity of 3/(5^n)+2/n

n = 0 \sum \infty \frac{3}{5 ^{n}} + \frac{2}{n}

diverges

Solution steps

n = 1 \sum \infty \frac{3}{5 ^{n}} + \frac{2}{n}

Apply Series Comparison Test:

diverges

= diverges

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

k = 0 \sum \infty (- \frac{2}{3})^{k}

n = 0 \sum \infty \frac{3}{5 ^{n + 2}}

n = 1 \sum \infty \frac{e}{π ^{n}}

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

What is the sum from n=0 to infinity of 3/(5^n)+2/n ?
The sum from n=0 to infinity of 3/(5^n)+2/n is diverges