1. Determine if the series _ 1 converges or diverges. Justify your answer. nyln n2. Determine if the series _ n - 1 3n* +1 converges or diverges. Justify your answer. 3. Determine if the series E- n+ 4 converges or diverges. Justify your answer. 4. Determine if the series ) sinn converges or diverges. Justify your answer. en1. Determine if the series ) "-(-3)" 22n+1 converges absolutely, converges conditionally, or diverges. 1 2. Determine if the series > ( In n ) converges absolutely, converges conditionally, or diverges.3. Determine if the series _ (-1) n n2+ 4 converges absolutely, converges conditionally, or diverges. cos n 4. Determine if the series E- converges absolutely, converges conditionally, or 2 2 diverges.5. Determine if the series _ converges absolutely, converges conditionally, or diverges. 6. It is known that the two series A = and B = converge and that A n= 1 2 2 n= 1 72 2 = 6 . Find the exact value of B. Hint: Write out at least the first six terms of each series and express A - B in terms of A