Recent content by cauchy21

  1. C

    Limit of √((n+a)(n+b)) - n and (n!)^(1/n²) as n→∞

    Homework Statement [SIZE="3"](a) lim_{n\rightarrow\infty} (\sqrt{(n + a)(n + b)} - n) where a, b > 0 [SIZE="3"](b)lim _{n\rightarrow\infty} ([SIZE="3"]n!)1/n2 Homework Equations The Attempt at a Solution I tried to use Limit theorems but nothing happened.
  2. C

    Limits of Sequences: a,b>0, n→∞

    [SIZE="3"](a) lim_{n\rightarrow\infty} (\sqrt{(n + a)(n + b)} - n) where a, b > 0 [SIZE="3"](b)lim _{n\rightarrow\infty} ([SIZE="3"]n!)1/n2
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