Inverse trig limit

Evaluate $\displaystyle \lim_{x \rightarrow 1} \dfrac{\arcsin{x} - \dfrac{\pi}{2}}{x-1}$ .

If the answer cannot be inputted into the solution box, select the correct option below and input the number of the option that best fits the correct answer:

• Limit DNE, by approaching $+ \infty$ on both sides of one: Input 1234

• Limit DNE, by approaching $- \infty$ on both sides of one: Input 4321

• Limit DNE, by not approaching the same value from left and from right of one, but not approaching $\pm \infty$ on either side: Input 1324

• Limit DNE, by approaching $-\infty$ from the left of one, and $+ \infty$ from the right of one: Input 1243

• Limit DNE, by approaching $+\infty$ from the left of one, and $- \infty$ from the right of one: Input 3241

• Limit DNE, by approaching $- \infty$ from the left of one, ONLY. The right hand limit does not approach a real number, nor does it approach $\pm \infty$ . Input 3421

• Limit DNE, by approaching $+ \infty$ from the left of one, ONLY. The right hand limit does not approach a real number, nor does it approach $\pm \infty$ . Input 3142