. Problem 4: critize the following proof – find all mistakes(there may be more than one). A mistake includes but is not limited to a false statement; a statement that is not a logic consequence of its proceeding statement; a statement that is not usefull for or related to the final results. Prove lim,40 sin(1/1) does not exist. Proof Let e = 0.1 > 0. For any 6 > 0, by THM1.17 part 4, pick N, such that < 26x, then 1 + 2N7 2N7 So when ro = the limit does not exist. we have |ro| < d and sin() = sin( + 2N7) = 0.5 > €o. This shows %3D %3D

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