What Convergence Says About the Terms
Difficulty: Medium · Topics: Calculus, Series, Limits
Yaqinlashish hadlar haqida nima deydi
For two sequences \a n\ and \b n\, the series Σ n=1^∞≤ft(a n-(2n)/(n+1) ) and Σ n=1^∞(a n+2b n) both converge.
What is the value of lim n→∞fraca n+3b n+2? (Here b n≠ -2.)
\a n\ va \b n\ ketma-ketliklar uchun Σ n=1^∞≤ft(a n-(2n)/(n+1) ) va Σ n=1^∞(a n+2b n) qatorlarning ikkalasi ham yaqinlashadi.
lim n→∞fraca n+3b n+2 ning qiymati nechaga teng? (Bu yerda b n≠ -2.)