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Match a product-series coefficient

The coefficient of x2x^2 in the series expansion of 1ex(1+ax)\dfrac1{e^x(1+ax)} is 1/41/4. Find the constant aa. You may use standard results from MF27.

[2016/CJC/JC2/CA1/3(b)]

CJC · Discussion · Question 5

The x² term has three contributions: quadratic × constant, linear × linear, and constant × quadratic.

Read the worked solution