csat-suneung 2020 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 $\lim _ { n \rightarrow \infty } \frac { \sqrt { 9 n ^ { 2 } + 4 } } { 5 n - 2 }$? [2 points]
(1) $\frac { 1 } { 5 }$
(2) $\frac { 2 } { 5 }$
(3) $\frac { 3 } { 5 }$
(4) $\frac { 4 } { 5 }$
(5) 1
What is the value of $\lim _ { n \rightarrow \infty } \frac { \sqrt { 9 n ^ { 2 } + 4 } } { 5 n - 2 }$? [2 points]\\
(1) $\frac { 1 } { 5 }$\\
(2) $\frac { 2 } { 5 }$\\
(3) $\frac { 3 } { 5 }$\\
(4) $\frac { 4 } { 5 }$\\
(5) 1