Which of the following subsets of â„2 is NOT compact?

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Which of the following subsets of â„2 is NOT compact?

Options:

A . {(x,y) âˆˆ â„2 : -1 â‰¤ x â‰¤ 1, y = sinx}

B . {(x,y) âˆˆ â„2 : -1 â‰¤ y â‰¤ 1, y = x8 - x3 - 1}

C . {(x,y) âˆˆ â„2 : y = 0, sin(ex) = 0}

D . {(x,y) âˆˆ â„2 : x > 0, y = sin(1/x)}â‹‚{(x,y) âˆˆ â„2 : x > 0, y = 1/x}

Answer: Option C

-NA-

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