Prove or disapprove f(x) is uniformly continuous f(x)=(sinx)/x for x not equal to zero. and f(x)=1 for x=0 I know f(x) is uniformly continous but I can't prove it. how do i show the derivative is bounded. thanks
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Originally Posted by charikaar Prove or disapprove f(x) is uniformly continuous f(x)=(sinx)/x for x not equal to zero. and f(x)=1 for x=0 I know f(x) is uniformly continous but I can't prove it. how do i show the derivative is bounded. thanks Show that the derivative is continous
Take into account that the coefficients of McLaurin expansion of of degree < 3 are equal to zero, so that is and that both the functions and tend to 0 if x tends to infinity... Kind regards
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