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Hi, on thursday, i have exam of advance calculus and i could not solve two problem in study sheet given by İnstructor. By 9 question, i prove by add an subtract XnY to |XnYn-XY| and i have found that |Xn(Yn-Y)+ Y(Xn-X)|<=|Xn(Yn-Y)|+|Y(Xn-X)|<=|Xn||Yn-Y)|+|Y||(Xn-X)| but, to use the last inequality, i need to know that Xn=a(Yn-Y) but how can i get that?

by last question, i could not have a idea and apply Cauchy properties to this :(..

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# Cauchy sequence and topological problems

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