
Concept explainers
(a)
To approximate: the limit by using a graphing utility to graph the function..
(a)

Explanation of Solution
Given information:
Given following limit
limx→0sin4x2x
Calculation:
Let f(x)=sin4x2x and plot the function f(x) .
To calculate the model using the T1-83 graphing calculator follows the steps:
Press Y= and enter the equation
Press ZOOM and choose the appropriate zoom function, then plot window is like this
From the graph we can see that the function converges to a single bounded value as it approaches 0 both from left and right side.
(b)
To approximate: the limit by using the table feature of the graphing utility to create a table.
(b)

Answer to Problem 41RE
Limit converges to a value of 2.
Explanation of Solution
Calculation:
Numerically approximate the limit using f(x)=sin4x2x and tabulate it using the T1-83 graphing calculator, with following steps:
Press Y= and enter the equation
Press 2nd key and window to set table
Press 2nd key and graph button and enter the values of x :
Limit converges to a value of 2.
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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