What is the sum from n=0 to infinity of ln(1+n^6) ?

The sum from n=0 to infinity of ln(1+n^6) is diverges

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sum from n=0 to infinity of ln(1+n^6)

n = 0 \sum \infty ln (1 + n^{6})

diverges

Solution steps

n = 0 \sum \infty ln (1 + n^{6})

Apply Series Divergence Test:

diverges

= diverges

n = 1 \sum \infty \frac{1}{10 ln ( n )}

n = 0 \sum \infty \frac{( - 5 ) ^{n}}{n}

n = 0 \sum \infty \frac{( 6 ^{n} )}{n !}

n = 0 \sum \infty ln (3 - n)

n = 0 \sum \infty \frac{1}{3 ^{n} - 1}

What is the sum from n=0 to infinity of ln(1+n^6) ?
The sum from n=0 to infinity of ln(1+n^6) is diverges