Question: 40. Show that ; n 0 < + ; n + 1 1 < + + ; n + r r <

40. Show that ; n 0 < + ; n + 1 1 < + · · · + ; n + r r < = ; n + r + 1 r < . Hint: ; n r < = ; n + 1 r < − ; n r − 1 < .

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