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Math Help - Solution

  1. #1
    Junior Member
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    Solution

    Hi everybody,

    f is a positive and continuous function on \mathbb{R}^+ such as:

    \lim_{x \to +\infty} \frac{f(x)}{x}=1.

    I must show that the following equation: f(x)=x accepts least one solution in \mathbb{R}^+.

    Can you help me please?

    And thank you anyway.
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  2. #2
    MHF Contributor

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    Quote Originally Posted by lehder View Post
    f is a positive and continuous function on \mathbb{R}^+ such as:
    \lim_{x \to +\infty} \frac{f(x)}{x}=1.
    I must show that the following equation: f(x)=x accepts least one solution in \mathbb{R}^+.
    I must not be reading this correctly.
    What if f(x)=x+1? Is it true?
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