Question

When determining asymptotic complexity, we discard all terms except for the one with the largest growth rate.

Answer 1

True, we eliminate all terms except for the one with the biggest growth rate when calculating asymptotic complexity.

Asymptotic complexity:

because for example $f(x)=X_{3} +5X_{2} +6X+8$

then asymptotic complexity of f(x)=$O(x_{3} )$

• The corresponding idealization for studying algorithms is called asymptotic complexity; it is a good gauge of an algorithm's performance on sufficiently large problem sizes and shows its fundamental bounds.
• We may easily draw conclusions about an algorithm's best case, average case, and worst case scenarios using asymptotic analysis. When performing asymptotic analysis, the method is assumed to run in a fixed amount of time even in the absence of any input.
• As anything tends to infinity, it is said to be asymptotic. It does not at all include curves. The concept of complexity notation doesn't exist. We use asymptotic notation, more especially Landau notation, to represent complexity.

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