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CalculusMediumInfinite Sequences and Series

Infinite Sequences and Series · Medium problem

The Maclaurin series of f(x)=asin⁡(3x)+bxexf(x)=a\sin(3x)+bx e^x (for constants a,ba,b) has xx-coefficient equal to 77 and x2x^2-coefficient equal to 22. Find a+ba+b.