Jika (a,b) memenuhi persamaan lim x=2 x^2+ax-b/x-2=5, tentukan nilai (a + b)

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lim x→2 (x² + ax – b)/(x – 2) = 5

L'hos

2x + a/1 = 5

2.2 + a = 5

a = 1

x² + x – b = (x + b/2)(x – 2)

x + b/2 = 5

2 + b/2 = 5

b = 6

Nilai a + b = 1 + 6 = 7