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Consider the function
f(x)=x+x+x+⋯. f(x) = \sqrt{x+\sqrt{x+\sqrt{x+\cdots}}}. f(x)=x+x+x+⋯.
If the gradient of the tangent of the function at x=12 x = 12 x=12 can be expressed as ab, \frac{a}{b},ba, where a a a and b b b are coprime positive integers, what is the value of a+b? a + b?a+b?.
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