Find the linear approximation L(x) of the function  g(x) = 5th sqrt(1+x) at a = 0. L(x) ≈ ?       b) Use it to approximate the numbers  5th sqrt (.95) and  5th sqrt (1.1) (Round your answers to three

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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a) Find the linear approximation L(x) of the function 
g(x) = 5th sqrt(1+x) at a = 0.
L(x) ≈ ?
 
 
 
b) Use it to approximate the numbers 
5th sqrt (.95)
and 
5th sqrt (1.1)
(Round your answers to three decimal places.)
 
5th sqrt (.95) ≈ ?

5th sqrt (1.1) ≈ ?
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