prove that f(x)=sinx/x is a uniformly continous in R.

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- Jun 24th 2012, 10:51 AMdushyantpotaliyauniform continuity problem unsolved
prove that f(x)=sinx/x is a uniformly continous in R.

- Jun 24th 2012, 06:23 PMHallsofIvyRe: uniform continuity problem unsolved
What is your difficulty? Do you know the

**definition**of "uniformly continuous"?

(First point you need to deal with is that you**cannot**prove the statement as given- it isn't true! f(x)= sin(x)/x is not**defined**at x= 0 and so cannot be continuous there. The function "f(x)= sin(x)/x for x**not equal to 0**, f(0)= 1" is uniformly continuous in R.)