One sided Limits 3 9-x², x# -35,-X=-3.b. Find lim f(x) andX➡-3X-3*c. Does lim f(x) exist? If so, what is it? If not, why not?X--3a. Graph f(x) =a. Choose the correct graph below.O A.lim f(x).4010IMIXO OB.CX---OC.JO17₂7O[1]10HU2

Given fx=9-x2, x≠-35 , x=-3 To Find Graph of fx limx→-3-fx and limx→-3+fx Whether the…

Answered: 9-x² x*-3 5, X=-3. b. Find lim f(x) and…

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 ƒ(x) = (x^2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01, -3.001, and so on as far as your calculator can go. Then estimate limxS -3 ƒ(x). What estimate do you arrive at if you evaluate ƒ at x = -2.9, -2.99, -2.999,c instead? b. Support your conclusions in part (a) by graphing ƒ near c = -3 and using Zoom and Trace to estimate y-values on the graph as xS -3. c. Find limxS -3 ƒ(x) algebraically.
Given lim (4x-3) as x approaches 1. Use the definition of a limt to find a number delta such that the absolute value of x-a is less than delta when the absolute value of f(x)-L is less than 0.08
1. Evaluate lim (2x-5) given its graph below. x →2 a.0 b. -1 c. 2 d. 1 2. Given the graph of f(x) below, evaluate its limit as x approaches 3. a.2 b. 3 c. 1 d. 0
Let G(x) = (x + 6)/(x2 + 4x - 12). a. Make a table of the values of G at x = -5.9, -5.99, -5.999, and so on. Then estimate limx--> -6 G(x). What estimate do you arrive at if you evaluate G at x = -6.1, -6.01, -6.001, .....instead? b. Support your conclusions in part (a) by graphing G and using Zoom and Trace to estimate y-values on the graph as x --> -6
Evaluate lim as x approaches negative infinity 3e^2x + 4e^-x / e^2x - 2e^-x .
2. Let g(x)= {-1/5x + 2, x<0 -2, x=0 x+2, x>0. Does the lim g(x) x→0 exist? If yes, give its value. If not, why?
Find the limits, if it exists. lim x → ∞ (13)/(14+e^(8x))
True or False: If f(c)=10, then lim f(x)=10 x-->c
Let ƒ(x) = (x2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01, -3.001, and so on as far as your calculator can go. Then estimate limx--> -3 ƒ(x). What estimate do you arrive at if you evaluate ƒ at x = -2.9, -2.99, -2.999,...... instead? b. Support your conclusions in part (a) by graphing ƒ near c = -3 and using Zoom and Trace to estimate y-values on the graph as x -->-3.
6. Given f(x)= { 3, if x < -2 x, if -2 ≤ x<8 x+3, if x≥8 estimate lim f(x) x→−2 a.-2 b. 1 c. does not exist d. 3 7. Using a table of values, estimate lim 1/ x-3 x→3 a. 1 b. -1 c. - ∞ d. ∞ 8. Using table of values, estimate lim x+4/ (x-5)2 x→5 a. 10 b. 8 c. - ∞ d. ∞
For f(x) = −x^3 + 1/2x + 8evaluate limx→∞ f(x) and limx→−∞ f(x). Then give thehorizontal asymptote of f (if any). (a) Graph f(x)=(1−x^2, x≠1)(2, x = 1)(b) Find limx→1+ f(x) and limx→1− f(x).(c) Does limx→1 f(x) exist? If so, what is it? If not, why not?
1. Using the table of values, estimate lim 3x x→2 a. 3 b. 6 c. 2 d. 5 2. Using the table of values, estimate lim (x2 + 4x -3) x→1 a. 1 b. 3 c. 0 d. 2 3. Using the table of values, estimate lim (x3 + 2x2 -3) and lim (x3 + 2x2 -3) x→2- x→2+ a. -19 and -3, respectively b. -3 and -19, respectively c. both equal to -3 d. both equal to -19

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9-x² x*-3 5, X=-3. b. Find lim f(x) and lim f(x). X--3- X-3* c. Does lim f(x) exist? If so, what is it? If not, why not? X-3 a. Graph f(x)= a. Choose the correct graph below. O A. 40 X 10 OB. O 10 X

9-x² x-3 5, X=-3. b. Find lim f(x) and lim f(x). X--3- X-3 c. Does lim f(x) exist? If so, what is it? If not, why not? X-3 a. Graph f(x)= a. Choose the correct graph below. O A. 40 X 10 OB. O 10 X