# Answer to Question #7832 in Real Analysis for Mike

Question #7832

a) give an example to show it is possible to have lim(x_sub(n) + y_sub(n)) exist without having lim x_sub(n) or lim y_sub(n) exist

b) give an example to show it is possible to have lim(x_sub(n) * y_sub(n)) exist without having lim x_sub(n) or lim y_sub(n) exist

b) give an example to show it is possible to have lim(x_sub(n) * y_sub(n)) exist without having lim x_sub(n) or lim y_sub(n) exist

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