Use the ratio or root test to determine if sum_{n=1}^{infty}left(1+frac{4}{n} ight)^{n^{2}} converges or diverges. Using the root test with p = we can conclude the series diverges.
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Step 1: Apply the root test formula, which states that \( P = \lim_{n \to \infty} |a_n|^{\frac{1}{n}} \). Show more…
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