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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The Answer of 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) $\frac{11}{30}$

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)limx→6​(ln(x−5)1​−x−61​) Using L'Hôpital's Rule −130-\frac{1}{30}−301​

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