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# The intersection of all intervals having the form

IMG_20190121_102317.jpg EXAMPLE 21 The intersection of all the intervals having the form where n is a positive integer is n (c) p, 41 (a) [1, 61 (d) 13/2,51
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@N Sai Shyam ( 6302909589 )

at n = 1, $[1+\ 1/n\ , 2(3-1/n)]$  $\varepsilon$ $[2,4]$

at n=2, $[1+\ 1/n\ , 2(3-1/n)]$ $\varepsilon$ $[3/2,5]$

as we can see 1+1/n <  2, $n\varepsilon positive integers$ and 3-1/n >2.

so the intersection in which this range lies is at minimum range of $[1+\ 1/n\ , 2(3-1/n)]$ which is at  n = 1.

if you ask me about union it will be at n->$\infty$ , which is (1,6)

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