In the following exercises, use a calculator to draw the graph of each piecewise-defined function and study the graph to evaluate the given limits. f(x) = (x^2, x  ≤ 3           (x + 4, > 3 (a) lim f(x)         x - > 3 - (b) lim f(x)      x - > 3 +

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Evaluating a Two-Sided Limit Using the Limit Laws

look at one-sided limits of a piecewise-defined function and use these limits to draw a conclusion about a two-sided limit of the same function.

[T] In the following exercises, use a calculator to draw the graph of each piecewise-defined function and study the graph to evaluate the given limits.

f(x) = (x^2, x  ≤ 3

          (x + 4, > 3

(a) lim f(x) 

       x - > 3 -

(b) lim f(x) 

    x - > 3 +

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