Using standard series from the List of Formulae (MF27), expand $\frac{e^{2x}-1}{\ln(1+2x)}$, for&n

Question

Using standard series from the List of Formulae (MF27), expand $\frac{e^{2x}-1}{\ln(1+2x)}$, for $x\ne0$, up to and including the term in $x^2$.[5]

Accepted Answer

$1+2x+\frac{4}{3}x^2+\cdots$

Quotient of exponential and logarithmic series