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Answer:
28
Step-by-step explanation:
limₓ→₉(3x²+28x+9)/(x+9)
Factorise the numerator
= limₓ→₉ (3x²+27x + x +9) / (x+9)
= limₓ→₉ 3x ( x + 9 ) + 1 ( x + 9) / (x + 9)
= limₓ→₉ (x + 9)(3x + 1) / (x + 9)
= limₓ→₉ (3x + 1)
Substitute when x = 9
= 3(9) + 1
= 27 + 1
= 28