Calculus I: Applying l'Hopital's Rule to Limits - Prof. J. R. Buchanan, Assignments of Calculus

Download Calculus I: Applying l'Hopital's Rule to Limits - Prof. J. R. Buchanan and more Assignments Calculus in PDF only on Docsity! Millersville University Department of Mathematics MATH 161, Calculus I Please use l’Hôpital’s rule where appropriate to evaluate the following limits. 1. lim x→π/2 1 − sin x 1 + cos 2x 2. lim x→1 x − 1 ln x − sin πx 3. lim x→∞ x tan 1 x 4. lim x→0+ ( 1 x − 1 √ x ) 5. lim x→1+ (x2 − 2x + 1)x−1 6. lim x→1 x 1 1−x 7. lim x→∞ (1 + 2x) 1 2 ln x 8. lim x→∞ x 2 e −x 9. lim x→∞ ∫ 2x x 1 t dt 10. lim x→∞ 1 x ln x ∫ x 1 ln t dt