- 6 Consider The Series In 1 N 1 A Write Out The First Three Partial Sums Of This Series B Find A Formula For 1 (69.77 KiB) Viewed 32 times
6. Consider the series ₁ In (²1₁) ∞ n=1 A) Write out the first three partial sums of this series. B) Find a formula for
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6. Consider the series ₁ In (²1₁) ∞ n=1 A) Write out the first three partial sums of this series. B) Find a formula for
6. Consider the series ₁ In (²1₁) ∞ n=1 A) Write out the first three partial sums of this series. B) Find a formula for the nth partial sum. (HINT: Use log properties like log(ab) = log(a) + log(b) and log(a/b) = log(a) -log(b).) C) Find the limit of the sequence of partial sums as n approaches infinity. Use your formula from part B. D) Does the series converge or diverge? If it converges, what number does it converge to?