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Evaluate: limₓ→₉(3x²+28x+9)/(x+9)

Sagot :

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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

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