(-1)" For (i) take = xn= Show with proof that {xn) is a Cauchy but not monotonic. (proof) For(ii), take= x₁= n Show that{xn} is monotonic. (proof) n 1 Take &=;n € N; and n > N and m=n+1 Proof that FX I |Xn-Xn+1 > E Conclude is {xn) is monotonic or Cauchy or both monotonic and Cauchy? For (iii), take xn = 1 +(-1)^. Show with a proof that { xn} is bounded for all n E N. Compute |xn-Xn+1|

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