A) \[3\]
B) \[7\]
C) \[6\]
D) \[4\]
Correct Answer: D
Solution :
\[\underset{x\to 3}{\mathop{\lim }}\,\,\frac{{{x}^{n}}-{{3}^{n}}}{x-3}=108\] \[\Rightarrow \] \[\underset{x\to 3}{\mathop{\lim }}\,\,\,\frac{n{{x}^{n-1}}}{1}=108\] \[\Rightarrow \] \[n{{3}^{n-1}}=108={{4.3}^{(4-1)}}\] \[\Rightarrow \] \[n=4\]You need to login to perform this action.
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