Can you please answer question 1.22 9:38< Backmy m y(x)iv) lim y(x)3-436v) lim y(x)vi) lim f(x)vii) lim y(x)viii) lim f(x)ix) lim f(x)lim f(x)x)Question 1.21)Compute the following limits or show that they do not exist. Do not forget.- Justify cancellations (appropriate restrictions).- Explain/justify your signs when working with absolute values.- Work with the given variables, do not change all variables to x.- Do not erase limits too fast: lim... lim...... lim... #D) lim- If you use the Basic Trigonometric Limit or its inverse, write it down (BTL or BTL'').- More advanced techniques not seen in the course yet, such as L'Hôpital's Rule, are not allowed.A) limC) limIr-211-2 2-14x²-7x² +8x4x+xQuestion 1.22)Given f(x)=-D) lim-HW 1.11 - 1.24Question 1.24)Yet another bunch of these...xcotxx-40 sec 3xA) lim-class)C) limB) lim-4x+5k when .x < -1,[kx²+x-3 when.x>-1find a value of k, if any, for which lim f(x) exist, and what is then the value of this limit?THQuestion 1.23)Compute the following limits or show that they do not exist.Do not forget: always same presentation requirements as in Question 1.21.(x+3)-27A) limB) lim3r- Irl+5rE) lim-Careful: Do not start by writing -4x+5k=kx²+x-3, for there is no particular value of x for which theexpressions on both sides can both be evaluated.One must work with limits: you want both one-sided limits to be equal.(cos(1)-1)(cos(r)+1)1x²+x-30r-58x'-4'X-4E) lim3-45°(3+h)-32h2x-15-x10-2xB) limX-40*D) limx-1x²-2x√u+5-√5x-1√√x²–2x+1Homework Problems Page 1"C) lim22(Must work out both sides)(explain how you work out the signs rigorously as was done in(will need to do both sides, right?)Homework Problems Page 2

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Question 1.22) (-4x+5k when x < -1. Given f(x)=- kx²+x-3 when x>-1 find a value of k, if any, for which lim f(x) exist, and what is then the value of this limit? Careful: Do not start by writing -4x+5k-kx²+x-3, for there is no particular value of x for which the expressions on both sides can both be evaluated. One must work with limits: you want both one-sided limits to be equal.

Question 1.22) (-4x+5k when x < -1. Given f(x)=- kx²+x-3 when x>-1 find a value of k, if any, for which lim f(x) exist, and what is then the value of this limit? Careful: Do not start by writing -4x+5k-kx²+x-3, for there is no particular value of x for which the expressions on both sides can both be evaluated. One must work with limits: you want both one-sided limits to be equal.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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