2) Calculate lim ( In(3x + 1) – In(2x + 1)). -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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2) Calculate lim ( In(3x + 1) – In(2x + 1)).
x 00
3) Prove the following statement using the Intermediate Value Theorem (IVT): 2ª + 3ª = 4ª has a solution.
4) For each graph in Figure 16, determine whether f' (1) is larger or smaller than the slope of the secant line between
x = 1 and x = 1+h for h > 0. Explain your reasoning.
y
y = f(x)
y= f(x)
1
1
(A)
(B)
FIGURE 16
Transcribed Image Text:2) Calculate lim ( In(3x + 1) – In(2x + 1)). x 00 3) Prove the following statement using the Intermediate Value Theorem (IVT): 2ª + 3ª = 4ª has a solution. 4) For each graph in Figure 16, determine whether f' (1) is larger or smaller than the slope of the secant line between x = 1 and x = 1+h for h > 0. Explain your reasoning. y y = f(x) y= f(x) 1 1 (A) (B) FIGURE 16
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