Number 20 5-46 Find the limit. Use l'Hospital's Rule where appropriate. Ifthere is a more elementary method, consider using it. If l'Hospital'sRule doesn't apply, explain why.5. lim7.x→1 X9. limt-0COS Xlimx-> (π/2)* 1 sin x11. limx²213. limx →0+15. limx-017. limt→019. limx-0- X-t³In x√xIn xX1√1 + 2x5¹ - 3¹tX2-X- X√1 - 4x6. limx → 1 xb8. limsin 4xx→0 tan 5x10. limt->012. lim0→TT/214. limx →∞0aX 116. lim18. limU→∞020. limx->0-311-tXIn xx=1_sin πχ1(In x)²csc 0e ¹/10u³sin 0COs mxx²COS nx

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Answered: 20. lim x-0 cos mx 2 x² Cos nx

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Let h(x) = (x2 - 2x - 3)/(x2 - 4x + 3). a. Make a table of the values of h at x = 2.9, 2.99, 2.999, and so on. Then estimate limx-->3 h(x). What estimate do you arrive at if you evaluate h at x = 3.1, 3.01, 3.001,......instead? b. Support your conclusions in part (a) by graphing h near c = 3 and using Zoom and Trace to estimate y-values on the graph as x--> 3.
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