Question: Suppose fis a positive, continuous, decreasing function for x1.(a)Ifan=f(n),interpret these two quantities as areas and sketch them to clearly rank them in increasingorder. (b)If1f(x)dxis divergent,
Suppose fis a positive, continuous, decreasing function for x1.(a)Ifan=f(n),interpret these two quantities as areas and sketch them to clearly rank them in increasingorder. (b)If1f(x)dxis divergent, what can be said about the convergence or48f(x)dxn=58andivergence ofn=1an?
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