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Chapter 14: Q. 10 (page 876)

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

10.limx鈫�02-xx2+4.

Short Answer

Expert verified

limx鈫�02-xx2+4=0.5.

Step by step solution

01

Step 1. Given information.

A limit is given aslimx鈫�c2-xx2+4.

02

Step 2. Form the table.

Choose values of x close to 0, arbitrarily starting with -0.01then 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 f(x)=2-xx2+4at each choice to obtain the below Table :

As x gets closer to 0 then f(x) gets closer to 0.5.

So,limx鈫�02-xx2+4=0.5.

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