Concept explainers
Finding Limits Graphically In Exercises 1-4, use the graph to find the limit. See Examples 1 and 2.
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Chapter 1 Solutions
Calculus: An Applied Approach (MindTap Course List)
- I've never seen a limit question like this. How do I decide limits with so many small lines?arrow_forwardAssessment 1. Directions: Find the limit of the following. 1. lim(x² + 2x – 1) X-2 2. lim (x³ + 8) x--2arrow_forward10- 8+ 1t +++ -10-9-8-7-6-5-4 –3 –2 –1 12 3. -1 -2+ -3+ -4+ -5+ -6+ -7+ -8+ -9+ 10+arrow_forward
- zle: BCT5-8 Jse the graph to determine the following limits. (a) lim f(x) (b) lim f(x) Xー (c) lim f(x) Xー→3 (d) lim f(x) ズー→4 Use the graph to determine the following limits. y=f(x) 2- (a) lim f(x) (b) lim f(x) x→2 (c) lim f(x) (d) lim f(x) x-3 xー→4 -1+arrow_forwardPick the graph A,b, and carrow_forwardVr- 2x -4 Let f(x) = Find lim f(x)? *+1arrow_forward
- Evaluate lim (e3 2.x) -arrow_forwardTutorial Exercise Use the given graph of the function y = f(x) to find the following quantities, if they exist. y 3 1 -6 -5 -4 -3 -2 -1 1 (a) lim f(x) X-4 (b) lim f(x) X-1- (c) x--1+ lim f(x) (d) lim f(x) x--1 (e) f(-1) Step 1 of 3 (a) lim f(x) X→-4 Recall lim f(x) exists if and only if lim f(x) = lim f(x). a+ Xa Xa Also recall lim f(x) = L if the values of f(x) can be made arbitrarily close to L by taking x sufficiently close to a for Xa x a. Using the graph, find the values (if they exist) of lim f(x) and lim f(x). (If a limit does not exist, enter DNE.) X→-4+ X-4- lim f(x) = X→-4- lim f(x) = X→-4+ O, lim f(x) ---Select--- X--4 O and its value is as follows. (If the limit does not Since these limits -Select--- exist, enter DNE.) lim f(x) = X-4arrow_forwardplease show all workarrow_forward
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