Does the sequence converge or diverge Give a reason for your answer 2 1 2 an Select the correct answer below and if necessary

Question

Does the sequence converge or diverge Give a reason for your answer 2 1 2 an Select the correct answer below and if necessary fill in the answer box to complete your choice O A an diverges because it is nondecreasing and it has no upper bound O B a converges because it is nondecreasing and has a least upper bound of Simplify your answer Type an exact answer using radicals as needed OC a converges because it is nonincreasing and has a greatest lower bound of Simplify your answer Type an exact answer using radicals as needed O D a diverges because it is nonincreasing and it has no lower bound OE a diverges because it has no upper bound and no lower bound OF a diverges because when n is odd the limit of the sequence is therefore the limit does not exist sequence is and when n is even the limit of the

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