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Evaluate the Limit lim⁡x→6(1ln⁡(x−5)−1x−6)\lim _{x \rightarrow 6}\left(\frac{1}{\ln (x-5)}-\frac{1}{x-6}\right) Using L'Hôpital's Rule −130-\frac{1}{30}

Question 80

Multiple Choice

Evaluate the limit lim⁡x→6(1ln⁡(x−5) −1x−6) \lim _{x \rightarrow 6}\left(\frac{1}{\ln (x-5) }-\frac{1}{x-6}\right) using l'Hôpital's Rule.


A) −130-\frac{1}{30}
B) 130\frac{1}{30}
C) 12\frac{1}{2}
D) 1130\frac{11}{30}

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