x2. x# - 2a. Graph f(x) =0, x= - 2.b. Find limf(x) andlim f(x).X-2*c. Does lim f(x) exist? If so, what is it? If not, why not?X-2X→-2.....a. Choose the correct graph below.O A.В.Oc.Ay10-4010-1010-101010104010-40-b. Findlim f(x) andlim f(x). Select the correct choice below and fill in any answer boxes in your choice.X→-2X→-2*O A.lim f(x) =lim f(x) =X-2X→-2(Simplify your answers.)B. The limit does not exist.Type here to searchW%23

Given function is, f(x)=x2, x≠-20, x=-2 b. limx→-2-f(x)=limh→0(-2-h)2 =4 and…

Answered: x2, x# - 2 a. Graph f(x) = 0, x= - 2.…

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) = (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.
If x4 <=ƒ(x)<= x2 for x in [-1, 1] and x2<=ƒ(x) <= x4 for x <-1 and x> 1, at what points c do you automatically know limx-->c ƒ(x)? What can you say about the value of the limit at these points?
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.
Find the Indicated Limit Limh-0(4h5-20h2+2h+1)
Estimate 1/1−2^1/x from the graph limx→0+
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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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1. Your friend from Calc 2 says that the following statement is not true: x2-x-2/x-2 = (x+1) She is right, the two functions involved are not exactly the same. a) What is different? Answer with complete sentences and supporting graphs. b) Now consider the following equation, which is true: lim x approaches 2 x2-x-2/x-2 = lim x approaches 2 (x+1) How does adding a limit sign in front of each function solve the problem from part a?
Find the limits to the following . (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) 1a. lim x->-∞ (6x^5-x)/(x^4+8) 1b.lim x->∞ 8cos(X) 1c. lim t->∞ sqrt(36t^2+5) -6t 1d. lim x-> ∞ (x^6+2x^9) 2. Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator (or computer) to check your work by graphing the curve and estimating the asymptotes. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) y = (3x2 + x − 2)/ (x2 + x − 2)
The graph shows a rough representation of the aggregate market depth of the stocks comprising the S&P 500 on the say of the US stock market crash at 2:45 pm on May 6, 2011, the flash crash. t is the time of day in hours and m(t) is the market depth in millions of shares. a. Compute the following (if a limit does not exist say why) lim m(t) t approaching 14.75 to the left lim m(t) t approaching 14.75 to the right lim m(t) t approaching 14.75 m(14.75) b. What do the answers to part a tell you about the market depth?

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x2, x# - 2 a. Graph f(x) = 0, x= - 2. b. Find lim f(x) and lim f(x). X--2 x--2* c. Does lim f(x) exist? If so, what is it? If not, why not? x--2 a. Choose the correct granh heloW