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  • What does the notation f(x)=o(g(x)) mean as x approaches infinity?

Analysis and Design of Algorithms

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  • double_arrow Asymptotic Notations
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What does the notation f(x)=o(g(x)) mean as x approaches infinity?

The notation f(x)=o(g(x)) indicates that g(x) grows significantly faster than f(x) as x approaches infinity. Little-o notation provides a precise way to describe the behavior of functions in terms of their growth rates, particularly when one function’s growth becomes negligible compared to another’s as the input size or variable tends to a limit.

Related Questions

  • Which asymptotic notation represents an algorithm’s worst-case time complexity?
  • What does amortized efficiency measure in algorithm analysis?
  • Which notation denotes the upper and lower boundaries of an algorithm’s time complexity?
  • What is the basic asymptotic efficiency of exponential classes in terms of time complexity?

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