MAT136H1 Lecture : 11.1 Sequences Question #3 (Medium)
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Question #3 (medium): convergent sequence and finding its limit. The long and tedious way would be to plug in each n number for the terms in the sequence and observe if the pattern is convergent or divergent. Much better approach is to determine the convergence and divergence systematically by treating the n as a variable, simplifying and applying limit to it as. Treating the n as a variable, the general sequence formula can be simplified. Plugging in is of no use at this point as both numerator and denominator will approach .