Answer true or false. Justify your answer using the O$()$ and o$()$definitions$.$

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$1.2$n$=$ O$($n$)\_\_\_\_\_\_\_\_\_\_\_\_\_.$

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$2.2$n$=$ o$($n$)\_\_\_\_\_\_\_\_\_\_\_\_\_.$

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$3.2$n$=$o$($n$2)\_\_\_\_\_\_\_\_\_\_\_\_\_.$

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$4.$ n$2=$ O$($n$2)\_\_\_\_\_\_\_\_\_\_\_\_\_.$

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$5.$ n log n$=$ O$($n$2)\_\_\_\_\_\_\_\_\_\_\_\_\_.$