a Q4. (a) Give an example of a convergent sequence (en) of positive numbers with lim x = 1 n80 (6) Give a an example of

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A Q4 A Give An Example Of A Convergent Sequence En Of Positive Numbers With Lim X 1 N80 6 Give A An Example Of 1 (71.87 KiB) Viewed 19 times

a Q4. (a) Give an example of a convergent sequence (en) of positive numbers with lim x = 1 n80 (6) Give a an example of a divergent sequence (xn) of positive numbers with lim sh = 1 n 72 → (6) Give an example of a convergent sequence (oc) of positive numbers with lim n+1 100 =1 a cols Give an example of a divergent sequence (en) of positive numbers with lim Xnti 00 = 1 xn yn n n->80 (e) Determine whether the statements given below are true false i. If een) is any, sequence of positive numbers with lim x = 1, then (x) is convergent. 1 1. If (mm) is any sequence of positive numbers iixn with lim & nos 1, then (scn) is convergent. (6 marks) -