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Chapter 14: Q. 6 (page 905)

find the limitlimx鈫�-1x2+x+2x2-9

Short Answer

Expert verified

limx鈫�-1x2+x+2x2-9=-14

Step by step solution

01

Step 1. Given information

limx鈫�-1x2+x+2x2-9

02

Step 2. Domain of the function

We can find limit of rational function by limx鈫�cf(x)=f(c)if c is in the domain of f(x) .So to find the domain of f(x)= x2+x+2x2-9we have to put denominator =0

x2-9=0(x-3)(x+3)=0

So domain of the f(x) is all real number except 3and -3.

03

Step 3. limit of the function

As here c= -1 which is in the domain .so ,

limx鈫�-1f(x)=f(-1)=(-1)2+(-1)+2(-1)2-9=1-1+21-9=-14

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