Question 292 of 401EasyMCQ
If \[\mathop {\lim }\limits_{x \to 0} {{\log \left( {3 + x} \right) - \log \left( {3 - x} \right)} \over x}\] = k, the value of k is
Solutions · 1
Official solution
\[\mathop {\lim }\limits_{x \to 0} {{\log \left( {3 + x} \right) - \log \left( {3 - x} \right)} \over x} = K\]
(by L′ Hospital rule)
\[\mathop {\lim }\limits_{x \to 0} {{{1 \over {3 + x}} - {{ - 1} \over {3 - x}}} \over 1} = K\]
\[\therefore\] \[{2 \over 3} = K\] Answer the question to unlock