General coefficient with cubic factor

Find the coefficient of $x^{n}$ in the expansion of $\frac{2 + x + x ^{2}}{( 1 + x ) ^{3}}$ .

~8 minAnswer checked instantlybinomial theorempower series

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIV. Binomial Theorem: Any Index, Examples XIV.c, No. 4

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).