Question: (1) Let {xn}n=1 be the sequence where xn =0 when n is odd and xn =1 when n is even.(a) Show that the sequence is

(1) Let {xn}n=1 be the sequence where xn =0 when n is odd and xn =1 when n is even.(a) Show that the sequence is bounded.(b) Show that the sequence does not converge to 0.(c) What would we need to prove in order to show that the sequence is divergent?For the remaining problems, find the limit of each convergent sequence or explainwhy it diverges.(2) an =n+(1)nn(3) an = sin (/2+1/n)(4) an =(sin(n))22n(5) an = ln ((1+1/n)n)(6) an =nn+1 n

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