construct a table to find the indicated limit. lim 4x^3 x→ - 2 complete the table below. x -2.01 -2.001…

Explanation:

Step1: Substitute x = - 2.01 into f(x)

$f(-2.01)=4\times(-2.01)^{3}=4\times(-8.120601)=-32.4824$

Step2: Substitute x = - 2.001 into f(x)

$f(-2.001)=4\times(-2.001)^{3}=4\times(-8.012006001)=-32.0480$

Step3: Substitute x = - 2.0001 into f(x)

$f(-2.0001)=4\times(-2.0001)^{3}=4\times(-8.00120006)=-32.0048$

Step4: Substitute x = - 1.9999 into f(x)

$f(-1.9999)=4\times(-1.9999)^{3}=4\times(-7.99880006)=-31.9952$

Step5: Substitute x = - 1.999 into f(x)

$f(-1.999)=4\times(-1.999)^{3}=4\times(-7.988005999)=-31.9520$

Step6: Substitute x = - 1.99 into f(x)

$f(-1.99)=4\times(-1.99)^{3}=4\times(-7.880599)=-31.5224$

Answer:

x	-2.01	-2.001	-2.0001	-1.9999	-1.999	-1.99
f(x)=4x³	-32.4824	-32.0480	-32.0048	-31.9952	-31.9520	-31.5224