Question: If possible, find the first three nonzero lerms in the power series expansion for the product l(x)g(x).f(x)=e2x=n=01n!(2x)ng(x)=sin8x=k=0(-1)k(2k1)!(8x)2k1The power senes approximation of f(x)g(x) is(Type an expression

If possible, find the first three nonzero lerms in the power series expansion for the product l(x)g(x).f(x)=e2x=n=01n!(2x)ng(x)=sin8x=k=0(-1)k(2k1)!(8x)2k1The power senes approximation of f(x)g(x) is(Type an expression that includes all ferms up 10 onder 3)Find the power series expansion n=0anxnf(f)H(x)g(x), given the expansions for f(x) and g(x)f(x)=n=01n8xn*g(x)=n=15-nxn-1The power series expansion for N(x)g(x) isFind the power series expansion n=0anxnf(f)H(x)g(x), given the expansions for f(x) and g(x)f(x)=n=01n8xn*g(x)=n=15-nxn-1The power series expansion for N(x)g(x) is

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