# Difference between limits $\infty$ and $+\infty$

Is there a difference between these two limits? $$\lim_{x\rightarrow\infty}f(x)=+\infty\text{ and }\lim_{x\rightarrow+\infty}f(x)=\infty$$

• $\infty$ generally denotes $+\infty$ much like $1$ and $+1$. – Jika May 8 '14 at 19:20
• On the Riemann sphere, for instance, there is only one point at infinity. – Lucian May 8 '14 at 19:28

There is absolutely no difference, it is just that sometimes it is good to be explicit, seeing sometimes you may have "$-\infty$" so the people use "$+\infty$" to make things very clear.
$+\infty$ and $\infty$ are syntactically equivalent and can be used interchangeably.