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

construct a table to find the indicated limit. lim 4x^3 x→ - 2 complete the table below. x - 2.01 - 2.001 - 2.0001 → - 1.9999 - 1.999 - 1.99 f(x)=4x^3 - 32.4824 - 32.0480 - 32.0048 → - 31.9952 - 31.9520 - 31.5224 (simplify your answers. round to four decimal places as needed.) lim 4x^3 = (type an integer or a decimal.) x→ - 2

construct a table to find the indicated limit. lim 4x^3 x→ - 2 complete the table below. x - 2.01 - 2.001 - 2.0001 → - 1.9999 - 1.999 - 1.99 f(x)=4x^3 - 32.4824 - 32.0480 - 32.0048 → - 31.9952 - 31.9520 - 31.5224 (simplify your answers. round to four decimal places as needed.) lim 4x^3 = (type an integer or a decimal.) x→ - 2

Answer

Explanation:

Step1: Analyze the table - values trend

As (x) approaches (- 2) from the left ((x=-2.01,-2.001,-2.0001)) and from the right ((x = - 1.9999,-1.999,-1.99)), the values of (f(x)=4x^{3}) approach a certain number.

Step2: Determine the limit value

Looking at the values in the table, as (x) gets closer and closer to (-2), (f(x)) approaches (-32).

Answer:

(-32)