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Chapter 14: Q. 12 (page 876)

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

12.limx鈫�3=x2-9x2-3x.

Short Answer

Expert verified

limx鈫�3x2-9x2-3x=2.

Step by step solution

01

Step 1. Given information.

Given function is f(x)=x2-9x2-3x whose limit tend to 3 need to be found.

02

Step 2. The table is as follows.

Compare the given limit to.
Choose values of x close to 3, arbitrarily starting with 2.99 then we select additional numbers that get closer to 3, but remain less than 3. Next choose values of x greater than 3, staring with 3.01, which get closer to3.

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

As x gets closer to 3 then f(x) gets closer to 2.

So,limx鈫�3x2-9x2-3x=2.

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