t *5. lim t 0 t sin cost

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Make a table of values for each questions just like in the given example. Answer 5 and 6.

12 - 5x +4
lim
Example 1. By constructing table of values, investigate
Here, c = 1 and f(x) = S+4 Take note that 1 is not in the domain of f, but
this is not a problem. In evaluating a limit, remember that we only need to
go very close to 1; we will not go to 1 itself. We now approach 1 from the left
and from the right
x-1
f(x)
f(x)
1.5
-2.5
0.5
-3.5
1.17
-2.83
0.88
-3.12
1.003
-2.997
0.996
-3.004
1.0001 -2.9999
0.9999 -3.0001
The tables show that as z approaches 1, f(1) approaches –3. In symbols,
r2 – 5x + 4
-3.
Transcribed Image Text:12 - 5x +4 lim Example 1. By constructing table of values, investigate Here, c = 1 and f(x) = S+4 Take note that 1 is not in the domain of f, but this is not a problem. In evaluating a limit, remember that we only need to go very close to 1; we will not go to 1 itself. We now approach 1 from the left and from the right x-1 f(x) f(x) 1.5 -2.5 0.5 -3.5 1.17 -2.83 0.88 -3.12 1.003 -2.997 0.996 -3.004 1.0001 -2.9999 0.9999 -3.0001 The tables show that as z approaches 1, f(1) approaches –3. In symbols, r2 – 5x + 4 -3.
Evaluate the following limits by constructing their respective table of values.
sint 1- cost
+5. lim
t40 t
1- cost
+6. lim
sint
Transcribed Image Text:Evaluate the following limits by constructing their respective table of values. sint 1- cost +5. lim t40 t 1- cost +6. lim sint
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