1. ## convergence

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