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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- Nov 17th 2010, 10:35 AMseven.jContinuityUsing 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?

- Nov 17th 2010, 06:54 PMbubble86easier way
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. - Nov 17th 2010, 07:14 PMJose27
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