Question

( (1 ext{ point}) ext{ Compute the value of the following improper integral. If it converges, enter its value. Enter infinity if it diverges to } infty ext{, and } ewline -infty ext{ if it diverges to } -infty ext{. Otherwise, enter diverges.} ewline int_1^infty frac{7 , dx}{x^2 + 1} = ewline ext{Does the series } sum_{n=1}^infty frac{7}{n^2 + 1} ext{ converge or diverge?} )

          ( (1 	ext{ point}) 	ext{ Compute the value of the following improper integral. If it converges, enter its value. Enter infinity if it diverges to } infty 	ext{, and } 
ewline -infty 	ext{ if it diverges to } -infty 	ext{. Otherwise, enter diverges.} 
ewline int_1^infty frac{7 , dx}{x^2 + 1} = 
ewline 	ext{Does the series } sum_{n=1}^infty frac{7}{n^2 + 1} 	ext{ converge or diverge?} )

$( (1 ext point) ext Compute the value of the following improper integral. If it converges, enter its value. Enter infinity if it diverges to infty ext, and ewline -infty ext if it diverges to -infty ext. Otherwise, enter diverges. ewline int1^infty frac7 , dxx^2 + 1 = ewline extDoes the series sumn=1^infty frac7n^2 + 1 ext converge or diverge? )$

Added by Christopher B.

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