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Question 8

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 Show that the function f(x)=(x+2)log⁡(x2+1)+log⁡(x3+1) is O(xlog⁡x). \text { Show that the function } f ( x ) = ( x + 2 ) \log \left( x ^ { 2 } + 1 \right) + \log \left( x ^ { 3 } + 1 \right) \text { is } O ( x \log x ) \text {. }

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