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Find limits of sequences I part a


Solution:

(a) $s_1=1/4$, $s_2=1/7$, $s_3=1/10$, $s_4=1/13$, $s_5=1/16$.

(b) $b_1=4/3$, $b_2=1$, $b_3=10/11$, $b_4=13/15$, $b_5=16/19$.

(c) $c_1=1/3$, $c_2=2/9$, $c_3=1/9$, $c_4=4/81$, $c_5=5/243$.

(d) $\sqrt 2/2$, $1$, $\sqrt 2/2$, $0$, $-\sqrt 2/2$.


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