TS ICET 2015 Question Paper with Solutions for online practice

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Question : 119 of 200

Marks: +1, -0

If

I_k

= { x ∊ R : 0 < x <

1/k

} for k = 1 ,2,3,..... then

|↖{∞}↙{k=1}I_k

=

{0}
ϕ
{1}
{x ∊ R : 0 < x < 1}

Solution:

Given

I_k=\{x∊R:0 < x < 1/k\}

foor

k=1,2,3...

I_1=(0,1/2)

I_2=(0,1/3)

|↖{∞}↙{k=1}I_k=I_1∩I_2∩I_3=

= Null set = ϕ

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