# Inverse trig limit

Calculus Level 3

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

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