csat-suneung 2018 Q2

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