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Printsmc
algebra senior
Problem
If and for then is closest to which of the following numbers?
(A)
(B)
(C)
(D)
Solution
It is well known that , so we can put this in and simplify to get that the general term of the product is Now by writing out the terms, we see that almost everything cancels (telescopes), giving which is almost , so closest to
Final answer
D