My Math Forum Limit as x to c

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 February 26th, 2014, 03:37 AM #1 Senior Member   Joined: Sep 2010 From: Oslo, Norway Posts: 162 Thanks: 2 Limit as x to c Hello there i am interested in: $A= [a,b] \in \mathbb{R}, c \in (a,b)$ Assume we know nothing about apart $f$ from $f : [a,b] \to X$. I am interested in looking at $\lim_{x \to c} f(x)$. By doing this, do we only consider values of f where $x$ close to $c$, but not exactly where $x= c$? Thank you for your time. Kind regards, Marius
 February 26th, 2014, 03:45 AM #2 Senior Member   Joined: Jun 2013 From: London, England Posts: 1,316 Thanks: 116 Re: Limit as x to c Yes, absolutely. The limit is defined for values close to but not equal to the limit point. The defn of x -> c will have: 0 < |x ? c| < ? To ensure that x not = c in this defn.

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