Final answer:
The convergence or divergence of the series ∑ (2n+1)/(5n⁴+3) as n approaches infinity would typically be determined by a comparison test, and such series usually converge. For a practical computation using n=50, a calculator or software would be used to sum up to that number of terms.
Step-by-step explanation:
You asked about the convergence or divergence of a series as n approaches infinity. The general form of the series you gave isn't clear due to potential typos, but if you are asking about whether a series like ∑ (2n+1)/(5n⁴+3) converges or diverges as n approaches infinity, one method to evaluate this is by using the comparison test or the limit comparison test. For sequences with higher powers of n in the denominator, the series often converges because the denominator grows much faster than the numerator.
For the practical part of calculating a summation, specifically using n=50, this requires either computing it directly using formulae for the series or using computational tools like a calculator or software that can handle series summation. Since you mentioned the example of using a sum function in a calculator, it seems like you might be trying to approximate the sum of the series at a certain number of terms.
In an example you provided, someone is using a calculator to sum a particular list and then use a statistical function to find a p-value. A similar approach could be taken to calculate the sum of a series to a certain number of terms, if that's what you're looking for.