2 Let f x sin 1 x if x 6 0 if x 0 a Prove using the definition of limit that f

2 let f x sin 1 x if x 6 0 if x 0 a prove using the

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2. Let f ( x ) = sin ( 1 x ) if x 6 = 0 0 if x = 0 . (a) Prove using the definition of limit that f ( x ) is discontinuous at 0. (b) Consider any interval [ l, r ] with l < 0 and r > 0. Pick any numberLbetweenf(l) andf(r). Explain
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3. Consider any circle in the universe, superimposed over imaginary axes with points on the circle labelled
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