Worked Example 2
By using the standard series, derive the first four non-zero terms of the power series expansion of ${{e}^{3{{x}^{2}}}}\ln (1-3x)$. Write down the range of values of $x$ for the expansion to be valid.
By using the standard series, derive the first four non-zero terms of the power series expansion of ${{e}^{3{{x}^{2}}}}\ln (1-3x)$. Write down the range of values of $x$ for the expansion to be valid.