What is 9/20-3/20 in the simplest
2 answers:
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first off, let's convert the mixed fraction to improper fraction and then proceed, let's notice that by PEMDAS or order of operations, the multiplication is done first, and then any sums.
I'm guessing the series is supposed to be
By the ratio test, the series converges if the following limit is less than 1.
The first
terms in the numerator's denominator cancel with the denominator's denominator:
also cancels out and the remaining factor of 
can be pulled out of the limit (as it doesn't depend on ).
which means the series converges everywhere (independently of
), and so the radius of convergence is infinite.
By the ratio test, the series converges if the following limit is less than 1.
The first
which means the series converges everywhere (independently of