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Calculus · Limits

Limit of e^(-n)·sin(n·x) as n → oo

\lim_{n \to \infty} e^{- n} \sin{\left(n x \right)}

Step by step

  1. \lim_{n \to \infty^+-} e^{- n} \sin{\left(n x \right)}

    Try direct substitution first.

  2. \

    As x grows without bound, compare the fastest-growing terms (or divide top and bottom by the highest power).

  3. = 0

    Take the limit.

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