What is the sum from n=1 to infinity of (n!)/(2n!+1) ?

The sum from n=1 to infinity of (n!)/(2n!+1) is diverges

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sum from n=1 to infinity of (n!)/(2n!+1)

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

diverges

Solution steps

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

Apply Series Divergence Test:

diverges

= diverges

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What is the sum from n=1 to infinity of (n!)/(2n!+1) ?
The sum from n=1 to infinity of (n!)/(2n!+1) is diverges