Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (7)2Find lim fxf(a).if it exists.x-2OA) -1OB) OO c) 1OD) Does not existf(2)=5 and f(4) = 1.holds for all values of x.EImg&tbm=isch&sa=...

We use sandwich theorem to find limit

Answered: Suppose the inequality (2² - 4x + 3) ≤…

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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evaluate the following and provide complete written solution
select "NONE" from the list of possible counterexamples. If false, select all functions that are counterexamples to the statement. i) f(x) is an invertible function. ? A. x2 + 4x + 3 B. -x* - 5x + 3 C. -x D. x – 5x + 3 E. -x + 3 F. NONE i) If lim f(x) = 0, then lim f(x) = -00. A. x2 + 4x + 3 В. —х4 — 5х + 3 C. -x D. x – 5x + 3 E. -x + 3 F. NONE ii) lim f(x) = c0 x-00 ? A. x2 + 4x + 3 В. - х — 5х + 3 C. -x D. x - 5x +3 E. -x + 3 F. NONE
Let f(x) = ⌊x⌋ + ⌊−x⌋ where ⌊x⌋ is the least integer function i.e. for a given input x itreturns the closest integer which is less than or equal to x. Evaluate the following:a) f(2)b) limx→2 f(x)
Find the limits of the following indeterminate forms
3. Discuss the continuity of the ff. functions. (Consider all the possible points of discontinuity. If discontinuous – determine the type of discontinuity and indicate if continuous at the left/right). Vx x3 p(x) = x > 1 - X - 2
if (7- 2w) < f(w) < (7 – w²), for -1swS 1. Find lim f(w). 7 O does not exist 4.
4: Find the following limits. If you use L'Hospital's rule, state when you use the rule along with the appropriate indeterminate form. (EDCとの t2 + 2t – 3 + 3) - (i) lim t+1 lim t2 – 1 (t+3). ン)いま) 1im (tr1) (1 + 3) ニ (生 +4) (ii) lim cot(4x) tan(3x) .(()g ot tesdo ino eU) Telduob os oma i o alat i mol yaol woH () mi or wa alat i ol gaol wroH (1+)* 2x 3 (iii) lim

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Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (#) Find lim fx if it exists. 3 x-2 OA) -1 OB) O Oc) 1 OD) Does not exist f(2)=5 and f(4) = 1. holds for all values of x. Q Jame&tbm=isch&sa=...