A) 1
B) 3
C) \[\frac{1}{2}\]
D) \[\frac{7}{11}\]
Correct Answer: B
Solution :
Given that, \[1+\frac{1}{1+\left\{ \frac{1}{1+\left( \frac{1}{x} \right)} \right\}}=\frac{1}{17}\] \[\Rightarrow \] \[1+\frac{1}{\left\{ 1+\frac{1}{1+x} \right\}}=\frac{11}{7}\] \[\Rightarrow \] \[1+\frac{1+x}{1+2x}=\frac{11}{7}\] \[\Rightarrow \] \[\frac{1+2x+1+x}{1+2x}=\frac{11}{7}\] \[\Rightarrow \] \[\frac{2+3x}{1+2x}=\frac{11}{7}\] \[\Rightarrow \] \[14+21x=11+22x\] \[x=3\]You need to login to perform this action.
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