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Chapter 1: Q. 30 (page 153)
Find the limit by hand.
On solving the limit, we get, .
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Use algebra to find the largest possible value of 未 or smallest possible value of N that makes each implication true. Then verify and support your answers with labeled graphs.
Sketch the graph of a function f described in Exercises 27鈥�32, if possible. If it is not possible, explain why not.
f is left continuous at x = 2 but not continuous at x = 2, and f(2) = 3.
Each function in Exercises 9鈥�12 is discontinuous at some value x = c. Describe the type of discontinuity and any one-sided continuity at x = c, and sketch a possible graph of f.
Each function in Exercises 9鈥�12 is discontinuous at some value x = c. Describe the type of discontinuity and any one-sided continuity at x = c, and sketch a possible graph of f.
For each function f graphed in Exercises 23鈥�26, describe the intervals on which f is continuous. For each discontinuity of f, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.
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