Concept explainers
The graphs of f and g are given. Use them to evaluate each limit, if it limit does not exist, explain why.
(a)
(b)
(c)
(d)
(e)
(f)
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- Find the limitsarrow_forwardUse 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_forwardIdentify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim (f(x) + g(x)) does exist. Choose the appropriate functions. х — 6 6. g(x) = - x f(x) = f(x) g(x) x +6 g(x) -x - 6. f(x) = 6 f(x) x2 g(x) x2 f(x) 6. g(x) =arrow_forward
- Use the graph below to determine the limits. lim f(x) lim f(x) x-1 x-2 lim f(x) x-3 y=f(x) 1 lim f(x) X-4 Xarrow_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_forwardneither lim f(x) ncarrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage