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Concept explainers
The graph of f is given.
(a) Find each limit, or explain why it does not exist.
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(b) State the equation of the horizontal asymptotes.
(c) State the equations of the vertical asymptotes.
(d) At what numbers is f discontinuous? Explain.
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Chapter 2 Solutions
James Stewart Calculus for MAT 127/128/229 8th edition
- Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3 points. The other prompts are worth 0.5 points each: 10-9-8--6-5-4-3-2 ● Does Not Exist Undefined x→-3 lim x-3 . Can be found, lim f(x) lim x → 1 Does Not Exist Undefined f(x) = lim f(x) x →1 . Can be found, f(x) = The function has several discontinuities. State the location of two discontinuities and explain, using the definition of continuity, why the function is not continuous at that location. Does Not Exist Undefined f(- 6) 10+ 9 Edit Insert Formats B IU X₂ X² A E = = E- 3? e & N lim f(x) x+3+ . Can be found, lim f(x) = x+3+ 8+ f(-3) f(-7) . Can be found, f(-7)= . Can be found, f(-3) = Does Not Exist Undefined 7 6 5 4- 3 2 1 -2 -3 -4 -5 -6 -7 -8 9+ --10+ 2 A I V 4 5 6 7 8 9 10 Does Not Exist Undefined lim x →-3+ 。 Can be found, lim f(x) x → f(x) = - 3+ Does Not Exist Undefined f(1) Can be found, f(1) = Does Not Exist Undefined lim f(x) x →3 . Can be found, f(x) = lim x →3 Does Not…arrow_forwardFor the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) y h 4- -2 -4 -2 2 4 8 (a) X → -3- lim h(x) (b) X → -3+ lim h(x) (c) lim h(x) X → -3 (d) h(-3) (e) lim h(x) X → 0- (f) lim h(x) X → 0+ 6arrow_forwardThe graph below is the function f(x) -2- -5 -4 -3 -2 2 -2 Determine the following values. Enter "DNE" if a value does not exist, enter "oo" (lower case "o") if the limit approaches positive infinity, or "-o0" if the limit approaches negative infinity. lim f(x) = lim f(x) = lim f(z) f(1)arrow_forward
- For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) -2 -4 -2 2 4 (a) lim h(x) X--3 (ь) lim h(x) x--3* (c) lim h(x) X- -3 (d) h(-3) (e) lim h(x) (f) lim h(x) (g) lim h(x) (h) h(0) (i) lim h(x) (j) h(2) (k) lim h(x) (1) x-5 lim h(x)arrow_forwardUse the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) YA -2 2 4 lim f(x) (a) X → 2- (Б) lim f(x) X → 2+ (c) lim f(x) X → 2 (d) f(2) e) lim f(x) X → 4 (f) f(4) 4.arrow_forwardUse the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) y 10 2 -2 4 6 8 10 (a) lim f(x) x-5 lim f(x) (b) X-5* (c) lim_f(x) x-5 (d) im f(x) x-9 (e) f(9)arrow_forward
- For the function f whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) (a) lim f(x) (b) lim f(x) X-3- (c) lim f(x) X→3+ (e) f(3) f(x) YA 4 2 0 2 4 xdarrow_forwardUse the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) y 아 4 -2 2 4 6 8 10 -2 (a) lim f(x) x-5 (b) lim f(x) x-5* (c) X-5 lim fx) (d) lim f(x) x-9 (e) f(9) 2.arrow_forward1. Consider the graph of the function f(x) below. Find the following limits: 2 -4 -3 -2 -1 1 2 -2 -4 (a) X -2- lim f(x) (e) lim f(x) X2- (b) lim f(x) X-2+ (f) lim f(x) X+2+ (c) lim f(x) (g) lim f(x) X -2 (d) f(-2) (h) f(2)arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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