Question 5 For this question you may use the identity n(n + 1) 1+2+3+...+n= for every positive integer n. (a) Find a formula for the approximation of the area under the curve y=2x, between a=0 and x=10, using n rectangles of equal width, and with right endpoints. Call this expression Rn - (b) Find a formula for the approximation of the area under the curve y=2x, between a=0 and x=10, using n rectangles of equal width, and with left endpoints. Call this expression Ln . (c) Verify, by computing the two limits, that lim R, = lim Ln. n00 n00

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