A) 1
B) 2
C) 3
D) 4
Correct Answer: C
Solution :
\[\underset{x\to 0}{\mathop{\lim }}\,f\left( x \right)=f(0)\] \[\Rightarrow \underset{x\to 0}{\mathop{\lim }}\,\frac{\frac{{{\left( {{e}^{x}}-1 \right)}^{2}}}{{{x}^{2}}}}{\frac{\sin \left( {}^{x}/{}_{k} \right)}{k\,\,\,\,\,\,{}^{x}/{}_{k}}\frac{\log \left( 1+{}^{x}/{}_{4} \right)}{4\,\,\,\,\,\,\,\,{}^{x}/{}_{4}}}=12\] \[\Rightarrow 4k=12\] \[k=3\]You need to login to perform this action.
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