A) \[-\frac{1}{3}\]
B) \[-1\]
C) \[\frac{1}{3}\]
D) 1
Correct Answer: A
Solution :
\[\frac{1}{1+\frac{1}{1+\frac{1}{x}}}=2\] \[\Rightarrow \] \[\frac{1}{1+\frac{1}{x+1}}=2\] \[\Rightarrow \] \[\frac{x+1}{2x+1}=2\] \[\Rightarrow \] \[x+1=4x+2\] \[\Rightarrow \] \[3x=-1\] \[\Rightarrow \] \[x=-\frac{1}{3}\]You need to login to perform this action.
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