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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
$,\text{Find } \displaystyle \bigcup_{i=1}^{\infty} A_i \text{ and } \bigcap_{i=1}^{\infty} A_i,\ \text{for every positive integer } i \text{ where } A_i={-i,i}.$
(Here $\mathbb Z$ denotes the set of integers.)
Solution
$A_1={-1,1},\ A_2={-2,2},\ldots$ so $\displaystyle \bigcup_{i=1}^{\infty}A_i={\ldots,-3,-2,-1,1,2,3,\ldots}=\mathbb Z\setminus{0}$, $\displaystyle \bigcap_{i=1}^{\infty}A_i=\varnothing$.Online Test Series, Information About Examination,
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