Solution to Show that whether x5 + 10x3 + x + 1 is O(x4) or not? - Sikademy
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Archangel Macsika

Show that whether x5 + 10x3 + x + 1 is O(x4) or not?

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\dfrac{x^5+10x^3+x+1}{x^4}= \dfrac{x^5}{x^4}+\dfrac{10x^3}{x^4}+\dfrac{x}{x^4}+\dfrac{1}{x^4}=x+\dfrac{10}{x}+\dfrac{1}{x^3}+\dfrac{1}{x^4}


\implies x+10x^{-1}+x^{-3}+x^{-4}


Degree of polynomial = 1

So, it is not O(x^4)

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Question ID: mtid-5-stid-8-sqid-2754-qpid-1224