# $\ln$ and $\ln^2$

Calculus Level 4

If given that $\displaystyle \lim_{x \to 0} \dfrac{\ln(2-\cos2x)}{\ln^2(\sin3x + 1)} = \dfrac{a}{b} ,$

find $a^2 + b^2$ where $a$ and $b$ are relatively prime,

×