A) \[\frac{(n-1)!}{{{x}^{n}}}\]
B) \[\frac{n\,!}{{{x}^{n}}}\]
C) \[\frac{(n-2)!}{{{x}^{n}}}\]
D) \[{{(-1)}^{n-1}}\frac{(n-1)!}{{{x}^{n}}}\]
Correct Answer: D
Solution :
Let \[y=\log x\] Þ\[{{y}_{1}}=\frac{1}{x}\],\[{{y}_{2}}=\frac{-1}{{{x}^{2}}}\], \[{{y}_{3}}=\frac{2}{{{x}^{3}}}\],??\[{{y}_{n}}=\frac{{{(-1)}^{n-1}}(n-1)!}{{{x}^{n}}}\].
You need to login to perform this action.
You will be redirected in
3 sec
