Recent content by h0p3d545

  1. H

    Why does the limit(n->∞) sqrt(n)/(sqrt(n)+sqrt(n+1)) equal 1/(1+sqrt(1-1/n))?

    Oh, ok. I understand. Thank you!
  2. H

    Why does the limit(n->∞) sqrt(n)/(sqrt(n)+sqrt(n+1)) equal 1/(1+sqrt(1-1/n))?

    OH. so if you multiply sqrt(n)/(sqrt(n)+sqrt(n+1)) by (1/sqrt(n))/(1/sqrt(n)) you get 1/(sqrt(n)+sqrt(n+1))/sqrt(n) which can simplify to 1/(sqrt(n/n)+sqrt(n/n+1/n)) or 1/(1+sqrt(1+1/n))
  3. H

    Why does the limit(n->∞) sqrt(n)/(sqrt(n)+sqrt(n+1)) equal 1/(1+sqrt(1-1/n))?

    Homework Statement I am studying for a calculus test tomorrow on this website (http://archives.math.utk.edu/visual.calculus/6/index.html). I am working on the limit comparison test problems but I am unfamiliar with the form they use in their solutions. For example: Limit comparison test (prove...