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1. The limit lim (12 + 22 + ... + 12? ) can be thought of as the limit of a right Riemann sum. Evaluate

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1. The limit lim (12 + 22 + ... + 12? ) can be thought of as the limit of a right Riemann sum. Evaluate the limit by finding and evaluating the integral it is equivalent to. (Hint: can you write this as n lim Ef( for some function f?) n k=1 2. Similarly, the limit 1+ 1 1 lim V2 + V3 +...+ Vn V n can be thought of as the limit of a right Riemann sum. Using an integral, find the n limit. (Hint: can you write this as lim Ef for some function f?) n=>DO n k=1

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