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Chapter 14: Q. 7 (page 876)

In Problems 7鈥�16, use a table to find the indicated limit.

7.limx鈫�2(4x3)

Short Answer

Expert verified

limx鈫�2(4x3)=32.

Step by step solution

01

Step 1. Given information.

A function is given as f(x)=4x3 whose limit needs to be found tending to 2.

02

Step 2. Explanation.

Compare the given function to .

Choose values of x close to 2, arbitrarily starting with 1.99 then we select additional numbers that get closer to 2, but remain less than 2.

Next choose values of x greater than 2, staring with 2.01, which get closer to 2.

Finally evaluate f(x) at each choice to obtain the required Table.

As x gets closer to 2thenf(x)gets closer to 32.

So, limx鈫�2(4x3)=32

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