Fill in the blank. (Note: The notation x → c+ indicates that x approaches c from the right and x → c− indicates that x approaches c from the left. Enter your answer in radians.) As x → 1−, the value of arcsin(x) → _____ .
Mathematics · College · Thu Feb 04 2021
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As \( x \) approaches 1 from the left (that is, values of \( x \) that are close to but less than 1), the value of \( \arcsin(x) \) approaches \( \frac{\pi}{2} \). To write it in the form of the limit notation, we can say \( \lim_{x \to 1^-} \arcsin(x) = \frac{\pi}{2} \).