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MathNet 2013 Question 92

Math Olympiad Vault · MathNet 2013

Question 92

Let $x = 2^{2013}$. Then the value of the expression
$$
x - \sqrt{x^2 + 1} + \frac{1}{\sqrt{x^2 + 1} + x}
$$
is equal to
(A) -1
(B) 0
(C) 1
(D) $2^{2013}$
(E) 2