2. Let xn =n+1n2+1 .(a) Prove that (xn) is a decreasing sequence.(b) Prove that P?n=1(?1)n+1xn is a convergent series.(c) Find a constant c > 0 such that xn ?cnfor all n ? N.(d) Determine whether...
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2. Let xn =n+1n2+1 .(a) Prove that (xn) is a decreasing sequence.(b) Prove that P?n=1(?1)n+1xn is a convergent series.(c) Find a constant c > 0 such that xn ?cnfor all n ? N.(d) Determine whether...