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Consider the limit lim n n (5/n) (25(-5 + 5i/n)^2) i=1 (i) Express the limit as a definite integral of a function, y=f(x), on an
Consider the limit lim
n
n
(5/n) (25(-5 + 5i/n)^2)
i=1
(i) Express the limit as a definite integral of a function, y=f(x), on an interval, [a, b]
b
f(x)dx
a
(ii) Evaluate the above definite integral by interpreting it as an area.
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