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Math Help - continuous complex

  1. #1
    Junior Member
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    Nov 2009
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    continuous complex

    is it true that if g(z) and h(z) are continuous functions on C and
    lim z->infinity of g(z)= infinity
    lim z->infitity of h(z) = infinity
    is it always true that lim z->infinity (g(z)+h(z)) = infinity?

    I dont think this is true. but im having difficulties coming up with counterexample. so starting to think its possibily true??
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  2. #2
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    this is not always true.
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