csat-suneung 2010 Q3

csat-suneung · South-Korea · csat__math-humanities 2 marks Sequences and series, recurrence and convergence Multiple-choice on sequence properties
What is the value of $\lim _ { n \rightarrow \infty } \frac { ( n + 1 ) ( 3 n - 1 ) } { 2 n ^ { 2 } + 1 }$? [2 points]
(1) $\frac { 3 } { 2 }$
(2) 2
(3) $\frac { 5 } { 2 }$
(4) 3
(5) $\frac { 7 } { 2 }$
What is the value of $\lim _ { n \rightarrow \infty } \frac { ( n + 1 ) ( 3 n - 1 ) } { 2 n ^ { 2 } + 1 }$? [2 points]\\
(1) $\frac { 3 } { 2 }$\\
(2) 2\\
(3) $\frac { 5 } { 2 }$\\
(4) 3\\
(5) $\frac { 7 } { 2 }$