find th coefficient of x⁵ in [x-/x]ⁿ

Dear Student,
Please find below the solution to the asked query:

$$\begin{gathered} {\left(\mathrm{x}-\frac{1}{\mathrm{x}}\right)}^{\mathrm{n}} \\ \mathrm{rth} \mathrm{term} \mathrm{is} \mathrm{given} \mathrm{by}: \\ ={\mathbf{n}}_{{\mathbf{C}}_{\mathbf{r}}}\left({\mathbf{x}}^{\mathbf{r}}\right)\mathbf{.}\left(\frac{\mathbf{1}}{{\mathbf{x}}^{\mathbf{n}\mathbf{-}\mathbf{r}}}\right)\mathbf{.}{\left(\mathbf{-}\mathbf{1}\right)}^{\mathbf{r}} \\ \mathrm{your} \mathrm{question} \mathrm{seems} \mathrm{incomplete}. \\ \mathrm{the} \mathrm{value} \mathrm{of} \mathrm{n} \mathrm{is} \mathrm{not} \mathrm{given}. \\ \mathrm{Please} \mathrm{check} \mathrm{it} \mathrm{again}. \end{gathered}$$

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