Question: . (a) Consider the sequence {an};=1 given by nl n on = ln( ) 0030:). Does the sequence converge? If so, nd its limit. (b)

. (a) Consider the sequence {an};=1 given by nl n on = ln( ) 0030:). Does the sequence converge? If so, nd its limit. (b) (i) Calculate / (1_1$)2dsc. (ii) Find a formula for the Maclaurin series of f (3:) = (Hint: use part (i)) (c) Find the interval of convergence of the power series i (3)\" (a: +1)\". n=l (1-50)\" (d) Find the Taylor polynomial of degree 2 of the function f(m)=1+\\/ about c = 1

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