For a, b in RR, if lim(x rarr 0) ((2+x+3...

For `a, b in RR`, if `lim_(x rarr 0) ((2+x+3x^2)a + (1 - x + 4x^2) b + (10x^3 - 2x^2-x)-5)/x^2` exists, then `a^2+b^2` is equal to

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