csat-suneung 2013 Q2

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 $\lim _ { n \rightarrow \infty } \frac { 5n ^ { 2 } + 1 } { 3n ^ { 2 } - 1 }$? [2 points]
(1) $\frac { 1 } { 3 }$
(2) $\frac { 2 } { 3 }$
(3) 1
(4) $\frac { 4 } { 3 }$
(5) $\frac { 5 } { 3 }$
What is the value of $\lim _ { n \rightarrow \infty } \frac { 5n ^ { 2 } + 1 } { 3n ^ { 2 } - 1 }$? [2 points]\\
(1) $\frac { 1 } { 3 }$\\
(2) $\frac { 2 } { 3 }$\\
(3) 1\\
(4) $\frac { 4 } { 3 }$\\
(5) $\frac { 5 } { 3 }$