&gtinfinity

  1. L

    Suppose f is defined and differentiable for every x>0, and f'(x)->0 as x ->infinity.

    Suppose f is defined and differentiable for every x>0, and f'(x)->0 as x ->infinity. Put g(x)=f(x+1)-f(x).? Prove that g(x)->0 as x-> infinity.
    • Lovingzee
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    • &gtinfinity defined differentiable fx&gt0 suppose x&gt0
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    • Forum: Eastern Imports
  2. W

    Show n^2 x^n (1-x) -> 0 as n ->infinity if x between 0 and 1?

    Show lim n->infinity of f_n(x) = n^2 x^n (1-x) is 0 for all x in [0,1].
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