Question: lim n ( x +n) (2+ ; ) .. (x+) f (x) = n! (x2 + n?) (x2 + )... (23 +2 if r

lim n" ( x +n) (2+ ; ) .. (x+") f (x) = n! (x2 + n?) (x2 + " )... (23 +2 if r > -1 a(r + 2) : a is a constant if x 0, the equation above holds true. Find 83 + 24 + y. lim cot (# \\100n2 + n + 1) 71-+00 For integer n, the limit above can be expressed as a cos- (3) Vb - 4V5 - 4130 + 6V/5 4 + V10 - 21/5 + V15 + v3 where a, b, and c are positive integers with a and b being perfect squares. Find a + b + c. Assume that f (x) is continuous on the interval (-oo, oo) and satisfies that x sin f (x) + cos f (x) = r

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