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if {Xn} and {Yn} are cauchy, show that {Xn +Yn} is cauchy. b.) Also show that...

if {Xn} and {Yn} are cauchy, show that {Xn +Yn} is cauchy.


b.) Also show that {XnYn} is cauchy
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Answer #1

These are results of operations on Cauchy sequences. We have to use definition of Cauchy sequence and some tricky algebra to prove the results.

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