Let f: [1, infinity) --> R and define g: (0,1] --> R by g(x) = f(1/x). Prove that the limit of f(x) as x approaches inifinity = L if and only if the limit of g(x) as x approaches 0+ = L.

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- September 27th 2009, 10:05 AMfriday616limits
Let f: [1, infinity) --> R and define g: (0,1] --> R by g(x) = f(1/x). Prove that the limit of f(x) as x approaches inifinity = L if and only if the limit of g(x) as x approaches 0+ = L.