Recent content by kenb1993

  1. K

    First time poster - Hard limit proof

    Zero haha. Thanks. xn
  2. K

    First time poster - Hard limit proof

    I think that's safe to assume without proof since bn is increasing. Thank for your help.
  3. K

    First time poster - Hard limit proof

    After manipulation were left with (L−ϵ)(1-bN/bM) + aN/bM≤aM/bM≤(L+ϵ)(1-bN/bM) + aN/bM. Then would bN/bM converge to zero and we are done?
  4. K

    First time poster - Hard limit proof

    So starting at a certain value N in the sequence, when you take the infinite sum of the inequality an and an+1 would tend to positive infinity along with bn+1 but I can't tie an argument together to actually prove the result.
  5. K

    First time poster - Hard limit proof

    Homework Statement Suppose an and bn are sequences where bn is increasing and approaching positive infinity. Assume that lim n->∞ [ ( an+1 - an ) / ( bn+1 - bn) ]= L, where L is a real number. Prove that lim n->∞ [ an / bn ] = L. Homework Equations Limit theorems The Attempt at a...