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Limit of 1/n as n → oo

\lim_{n \to \infty} \frac{1}{n}

Step by step

  1. \lim_{n \to \infty^+-} \frac{1}{n}

    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. \frac{\frac{1}{n}}{1}

    Divide numerator and denominator by n^1.

  4. = 0

    Take the limit.

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