Recent content by ocalvino

  1. O

    How Do I Prove This Limit Statement in Calculus?

    i originally posted this in the analasys section. Since i haven't been getting any results, I've figured that perhaps people feel it should be in the homework section. anyway, I am trying to prove the folloting: if lim f(x)= infinity= lim g(x) x->infinity x->infinty and lim...
  2. O

    Proof of L'Hospital's Rule 3: Lim f(x)/g(x) = ∞

    i also have the following hints to use after the hints in the original post: fix a>k, then by cauchy mvt, f(x)-f(a) f'(c) _______ = ____ > m(4/3) for x>a>k*, and such that g(x)-g(a) g'(c) g(x)>g(a)>0 and f(x)> f(a)> 0 where c>a>k*
  3. O

    Proof of L'Hospital's Rule 3: Lim f(x)/g(x) = ∞

    i just realized that my post is quite confusing. i suppose I am not too sure what to ask. If you don't understand my original post, perhaps u can just help me start off the proof. thanks.
  4. O

    Proof of L'Hospital's Rule 3: Lim f(x)/g(x) = ∞

    if lim f(x)= infinity= lim g(x) x->infinity x->infinty and lim f'(x)/g'(x)=infinity x-> infinity then lim f(x)/g(x)=inifity x-> inifinity The above fact is what I am trying to prove. From my notes, i see the following: For m>0, choose k>0, such that if...
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