Using the definition of continuity directly prove that f : (0,infinity) -->R defined by f (x) := 1/x is continuous. I know you have to start with epislon>0 and finding a delta, but I can't come up with the right delta. Help?
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instead you could use the other characterization of continuity. you kno for x not equal to zero 1/x is exist in R. now use algebraic limit theorem about reciprocal limits.
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