maths Maths Puzzle

Let x, y, n be positive integers, with n > 1. How many solutions are there to the equation xn − yn = 2100?

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maths Other Question

Show that 1 + x + x2/2! + x3/3! + ... + x2n/(2n)! is positive for all real values of x. Let x be a real number. Which is greater, sin(cos x) or cos(sin x)?