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(c) The function $\mathrm{f}$ is defined as $\mathrm{x} \rightarrow \frac{2 \mathrm{x}}{\mathrm{x}+1}$, where $\mathrm{x} \in \mathbb{R} \backslash\{-1\}$.$\newline$(i) Find the equations of the asymptotes of the curve $y=f(x)$.$\newline$(ii) $P$ and $Q$ are distinct points on the curve $y=f(x)$.$\newline$The tangent at $Q$ is parallel to the tangent at $P$.$\newline$The co-ordinates of $P$ are $\mathrm{x} \rightarrow \frac{2 \mathrm{x}}{\mathrm{x}+1}$$0$.$\newline$Find the co-ordinates of $\mathrm{x} \rightarrow \frac{2 \mathrm{x}}{\mathrm{x}+1}$$1$.$\newline$(iii) Verify that the point of intersection of the asymptotes is the midpoint of [PQ].