## Question

###### Since we ve required that f is three times differentiable, we know that f and it'$ first two derivatives are continous on1 [-1,1] From sub problem 3, we know there constant, which we I call _ K,s0 thatIf() < K, If' (s) < K, If" (c)l <K Iel-1.1]From item we know thatf' (r)sin(nrr)drnTUse the previous sub-problemn to show that2K Iaal "Use the squeeze theorem to conclude that lim an =0 n_OC

Since we ve required that f is three times differentiable, we know that f and it'$ first two derivatives are continous on1 [-1,1] From sub problem 3, we know there constant, which we I call _ K,s0 that If() < K, If' (s) < K, If" (c)l <K Iel-1.1] From item we know that f' (r)sin(nrr)dr nT Use the previous sub-problemn to show that 2K Iaal " Use the squeeze theorem to conclude that lim an =0 n_OC

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