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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- October 20th 2009, 05:07 PMgixxer998Show the limit of two composite functions aren't =
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). - October 20th 2009, 06:42 PMhjortur
If

then if and only if

f is continuous at x=L.