1. ## convergence

Let
f, g, h : A $\subseteq$R $\rightarrow$R be functions such that g(x) $\leq$f(x) $\leq$h(x) for all x $\in$A. Let p be an accumulation point of A: Prove that If limx $\rightarrow$p g(x) =limx $\rightarrow$p h(x) = l; where l $\in$R: Then limx $\rightarrow$p f(x) =l.

2. Why not learn to post in symbols? You can use LaTeX tags.
I do not think that any of us can read that garbage.
If you are really a serious question the learn to post it is proper notation.

3. Originally Posted by janae77
Let
f, g, h : A $\subseteq$R $\rightarrow$R be functions such that g(x) $\leq$f(x) $\leq$h(x) for all x $\in$A. Let p be an accumulation point of A: Prove that If limx $\rightarrow$p g(x) =limx $\rightarrow$p h(x) = l; where l $\in$R: Then limx $\rightarrow$p f(x) =l.

Originally Posted by Plato
Why not learn to post in symbols? You can use LaTeX tags.
I do not think that any of us can read that garbage.
If you are really a serious question the learn to post it is proper notation.
All she stated is the squeeze theorem.