I am following a Thomas Jech's "Set Theory" and in Chapter 5 have come across the following:

> 
> We take the Continuum Function to be $2^k$, without assuming the GCH: Generalized Continuum Hypothesim
> 
> 
> **Corollary 5.17**
> 
> 
> If $k$ is a singular cardinal and if the continuum **function** is eventually constant bellow $k$, with value $\lambda $, then $2^k$.
> 
> 
> 

I am having some trouble understanding exactly what Jech means when he says "if the continuum function is eventually constant"? I am sorry I cannot offer much more into the discussion, since I am simply stuck on the wording.