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Limits at Infinity: Dominating Terms #maths #engineering
Everyone knows exponentials grow fast. But factorials grow even faster. In this limit problem, the term 3ⁿ𝑛¹⁰⁰ looks dominant at first glance because it combines an exponential with a huge polynomial power. But the factorial 𝑛! eventually overwhelms both of them together. Why? Because: - A polynomial grows by repeated ...
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