Answer:
1.9975
Step-by-step explanation:
The computation of the linear approximation of the given function is shown below:
L(x) = 2 - 1 ÷ 4(x)
As we are looking for √3.9
So here
x = 0.1
So
= 4 - 0.1
= 3.9
Now
L(0.1) = f(3.9) = 2 - (0.1 ÷ 4)
= 1.975
now
substitute the x = 0.01
Then
L(0.01) = f(3.99) = 2 - (0.01 ÷ 4)
= 1.9975
We simply applied the above equations
