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Chapter 1: Q. 94 (page 151)
Prove that by using the double-angle identity and the other special trigonometric limit .
It is proved that .
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For each limit statement in Exercises , use algebra to find or in terms of or , according to the appropriate formal limit definition.
,findin terms of.
Write delta-epsilon proofs for each of the limit statements in Exercises .
.
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.
State what it means for a function f to be right continuous at a point x = c, in terms of the delta鈥揺psilon definition of limit.
For each functionf graphed in Exercises23鈥�26, describe the intervals on whichf is continuous. For each discontinuity off, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.
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