Find the numerical value for W such that L'Hopital's Rule applies to the following limit, then compute value L of that limit.

limx→9 (4x^2-27x+w) / (x-9)

Question

Mathematics

Cullen Buck

10 August, 11:26

Find the numerical value for W such that L'Hopital's Rule applies to the following limit, then compute value L of that limit.

limx→9 (4x^2-27x+w) / (x-9)

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Answers (1)

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Dania Mora · Answer 1

For L'Hopital's rule to apply 4x^2 - 27x + w = x - 9 = 0

x = 9

4 (9) ^2 - 27 (9) + w = 0

4 (81) - 243 + w = 0

81 + w = 0

w = - 81

L = limx→9 (4x^2 - 27x - 81) / (x - 9) = limx→9 (8x - 27) = 8 (9) - 27 = 72 - 27 = 45.

L = 45

Find the numerical value for W such that L'Hopital's Rule applies to the following limit, then compute value L of that limit.limx→9 (4x^2-27x+w) / (x-9)

Find the numerical value for W such that L'Hopital's Rule applies to the following limit, then compute value L of that limit.

limx→9 (4x^2-27x+w) / (x-9)