In(n) n a. Calculate the first 10 terms of this sequence. Based on these calculations, do you think the sequence converges or diverges? Why? b. For this sequence, there is a corresponding continuous function ƒ defined by f(x) = In(x) x Draw the graph of f(x) on the interval [0,10] and then plot the entries of the sequence on the graph. What conclusion do you think we can draw about the sequence {¹n(n)} if limx→∞ f (x) = L? Explain. c. Note that f(x) has the indeterminate formas x goes to infinity. What idea from differential calculus can we use to calculate limx→∞ f (x)? Use this method to find limx→∞ f (x). What, then, is limɲ→∞ In(n)? n