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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) = x^2 + ax + 3 and g(x) = x + b , where F(x) = _ n f(x) + (x^2)^n g(x) 1 + (x^2)^n . If F(x) is continuous at x = 1 and x = -1 then find the value of (a^2 + b^2) .

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17

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