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Chapter 7: Q. 5 (page 639)

Letr(x)be a nonzero rational function. Evaluate limx鈫�鈭�r(x+1)r(x).

Short Answer

Expert verified

The answer is1.

Step by step solution

01

Step 1. Given information.

It is given to evaluatelimx鈫�鈭�r(x+1)r(x).

02

Step 2. Required Value.

Now,

r(x+1)=鈭�i=0鈭�aibi(x+1)ir(x+1)r(x)=aibi(x+1)'aibixi=(x+1)ixi=1+1xi

Applying limit,

limx鈫�鈭�r(x+1)r(x)=limx鈫�鈭�1+1x'=limx鈫�鈭�(1+0)i=1

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