lim nenuju 1, px^2 + qx + 5 / x^2 - 1 = 1, tentukan nilai p + 1/2q

turunin
2px + q / 2x = 1
masukan x = 1
2p(1) + q / 2(1) = 1
2p + q = 2 × 1
2p + q = 2
px² + qx + 5 = 0
p(1)² + q(1) + 5 = 0
p + q + 5 = 0
p + q = -5
eliminasi
2p + q = 2
p + q = -5
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p = 7
p + q = -5
7 + q = -5
q = -5 - 7 = -12
p + ½q = 7 + ½(-12) = 7 - 6 = 1