Mathematics - Limits Question with Solution | TestHub

The difference of the nested radicals tends to 0, so the numerator tends to ${\cos }^{-1}(0)=\pi /2$. Also $x^2\ln (\left(x^2+2\right)/(x^2+$ 1)) → 1, so the denominator tends to ${\sec }^{-1}(-1)=\pi$. The ratio is 1/2.