Concept explainers
Explain the meaning of each of the following.
(a)
(b)
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Single Variable Calculus: Early Transcendentals
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- Use the graph of f in the figure to find the following values, if they exist. a. f(2) b. lim f(x) X→2 c. lim f(x) X→4 d. lim f(x) X→5 3- 0- 0 13 y = f(x) Xarrow_forwardThe graph below is the function f(x) 3 Q1 -5 -4 -3 -2 1 2 3 4 5 -2 -3 4 -5 Find lim f(x) = x→ -1- Find lim f(x) = Find lim x → - 1 f(x) = Find f( – 1) =arrow_forwardThe graph below is the function f(x) Find lim -5 -4 -3 -2 -1 -1 -2 -3 -4 x 27 Find lim x→2+ Find lim x → 2 5 4 Find f(2) N 1 f(x) f(x) f(x) ● 2 3 O 5arrow_forward
- The graph below is the function f(x) -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 Find lim f(x) x→2- Find f(2) Find lim f(x) x→2+ Find lim f(x) x→2 1 3 4 5arrow_forwardThe graph below is the function f(x) 5 3 02 01 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5+ -I-←x Find lim f(x) = 2 3 4 5 Find lim ƒ(x) = x→-1+ Find lim f(x) = x→-1 Find f(−1) =arrow_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_forward