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(a) Show that if 0 (a) Show that if O < a < bv then (b) Show that In ( 140 Hint: Draw a graph

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(a) Show that if 0

(a) Show that if O < a < bv then (b) Show that In ( 140 Hint: Draw a graph and use Riemann sums (c) One can check by direct computation that and therefore In 10 and 10 In ( 10 10 < 1 < In What bounds for e are implied by this result? (d) We want to find an integer N so that 11 10 Describe a method for finding N by generalizing the method we used in pans (a), (b) and (c). Then find N using this method.

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