Limiting volume Consider the region R in the first

Chapter 6, Problem 70

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Limiting volume Consider the region R in the first quadrant bounded by y = x1>n and y = xn, where n 7 1 is a positive number. a. Find the volume V1n2 of the solid generated when R is revolved about the x-axis. Express your answer in terms of n. b. Evaluate lim nS_ V1n2. Interpret this limit geometrically.

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