Find the limit by creating a table of values.
Table of contents
- 0. Fundamental Concepts of Algebra3h 32m
- 1. Equations and Inequalities3h 27m
- 2. Graphs1h 43m
- 3. Functions & Graphs2h 17m
- 4. Polynomial Functions1h 54m
- 5. Rational Functions1h 23m
- 6. Exponential and Logarithmic Functions2h 28m
- 7. Measuring Angles40m
- 8. Trigonometric Functions on Right Triangles2h 5m
- 9. Unit Circle1h 19m
- 10. Graphing Trigonometric Functions1h 19m
- 11. Inverse Trigonometric Functions and Basic Trig Equations1h 41m
- 12. Trigonometric Identities 2h 34m
- 13. Non-Right Triangles1h 38m
- 14. Vectors2h 25m
- 15. Polar Equations2h 5m
- 16. Parametric Equations1h 6m
- 17. Graphing Complex Numbers1h 7m
- 18. Systems of Equations and Matrices3h 6m
- 19. Conic Sections2h 36m
- 20. Sequences, Series & Induction1h 15m
- 21. Combinatorics and Probability1h 45m
- 22. Limits & Continuity1h 49m
- 23. Intro to Derivatives & Area Under the Curve2h 9m
22. Limits & Continuity
Introduction to Limits
Multiple Choice
Find the limit using the graph of f(x)shown.
limx→−2f(x)

A
4
B
−2
C
−3
D
Unable to determine
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Verified step by step guidance1
Observe the graph of the function f(x) provided. The graph shows a curve and some points marked on it.
Identify the point on the x-axis where you need to find the limit, which is x = -2.
Examine the behavior of the function as x approaches -2 from both the left and the right side. Look at the y-values the curve approaches as x gets closer to -2.
Notice that as x approaches -2 from the left, the y-values of the function approach a certain value. Similarly, as x approaches -2 from the right, the y-values also approach the same value.
Determine the limit by identifying the y-value that the function approaches from both sides as x approaches -2. This y-value is the limit of the function as x approaches -2.
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