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

question 80

Multiple Choice

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

• A) \(-\frac{1}{30}\)
• B) \(\frac{1}{30}\)
• C) \(\frac{1}{2}\)
• D) \(\frac{11}{30}\)

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