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Limit of e^(-2k^2) as k → oo

\lim_{k \to \infty} e^{- 2 k^{2}}

Step by step

  1. \lim_{k \to \infty^+-} e^{- 2 k^{2}}

    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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