(b) Using L'Hôpital's Rule Step 1 The limit to be evaluated is lim Vx + 5 - 3 X→4 X - 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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(b) Using L'Hôpital's Rule
Step 1
X + 5
3
The limit to be evaluated is lim
X→4
х — 4
By the direct substitution, we have the following.
Vx + 5
lim
3
X→4
X - 4
Thus, the direct substitution results in indeterminate
indeterminate form.
Step 2
Apply L'Hôpital's rule.
(Vx +5 - 3
d
Vx + 5
3
dx
lim
X→4
lim
х — 4
X→4
d
4
dx (X
x + 5
= lim
X→4
1
1
lim
X→4 VX + 5
2
Transcribed Image Text:(b) Using L'Hôpital's Rule Step 1 X + 5 3 The limit to be evaluated is lim X→4 х — 4 By the direct substitution, we have the following. Vx + 5 lim 3 X→4 X - 4 Thus, the direct substitution results in indeterminate indeterminate form. Step 2 Apply L'Hôpital's rule. (Vx +5 - 3 d Vx + 5 3 dx lim X→4 lim х — 4 X→4 d 4 dx (X x + 5 = lim X→4 1 1 lim X→4 VX + 5 2
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