R= Real numbers Let g be defined on R by g(1) := 0, and g(x) := 2 if x does not = 1, and let f(x) := x+1 for all x in R. Show that limit as x approaches 0, (g o f) does not equal (g o f)(0).
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If $\displaystyle \lim\limits_{x\to a}g(x)=L$ then $\displaystyle \lim\limits_{x\to a}f(g(x))=f(L)$ if and only if f is continuous at x=L.
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