Mathematics - Limits Question with Solution | TestHub

In (A), the inverse cosecant receives a value strictly between 0 and 1, outside its real domain. In (B), the radicand is negative for positive $x$. In (C), both one-sided limits equal $\cos 1/\sin 1$. In (D), the one-sided limits have opposite signs. Therefore (A), (B), and (D) do not exist as real limits.