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Chapter 1: Q. 32 (page 153)
Find the limit by hand.
On solving the limit, we get, .
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For each of the following sign charts, sketch the graph of a function f that has the indicated signs, zeros, and discontinuities:
Sketch a labeled graph of a function that satisfies the hypothesis of the Intermediate Value Theorem, and illustrate on your graph that the conclusion of the Intermediate Value Theorem follows.
For each limit in Exercises 43鈥�54, use graphs and algebra to approximate the largest value of such that if localid="1648023101818"
localid="1648023199049" role="math"
Calculate each of the limits:
.
In Exercises 39鈥�44, use Theorem 1.16 and left and right limits to determine whether each function f is continuous at its break point(s). For each discontinuity of f, describe the type of discontinuity and any one-sided discontinuity.
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