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Chapter 14: Q. 9 (page 876)

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

9.limx鈫�0x+1x2+1

Short Answer

Expert verified

limx鈫�0x+1x2+1=1.

Step by step solution

01

Step 1. Given information.

A limit function is given as limx鈫�0x+1x2+1.

02

Step 2. Make the table to find limit.

Choose values of x close to 0, arbitrarily starting with -0.01 then we select additional numbers that get closer to 0, but remain less than 0. Next choose values of x greater than 0 , staring with 0.01, which get closer to 0.

Finally evaluate the given function at each choice to obtain the below table :

As x gets closer to 0, the value of f(x)=x+1x2+1gets closer to 1.

So,role="math" localid="1647485079023" limx鈫�cx+1x2+1=1.

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