Math Help - Solution

1. 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.

2. Originally Posted by lehder
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?