- #1
kbrono
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Homework Statement
Let f be a function and p[tex]\in[/tex] . Assume that a[tex]\leq[/tex]f(x)[tex]\leq[/tex]b near p. Prove that if L= lim f(x) as x-->p Then L[tex]\in[/tex] [a,b]
The Attempt at a Solution
I want to say that because f(x) is bounded by [a,b] that automatically implies that the Limit L is also bounded by [a,b] and is therefore an element. But i have a feeling I'm supposed to make a sequence from the Sequential Characterization of Limits...