# The lim x → 1 x 6 − 1 x 10 − 1 . Also confirm the result graphically.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 2.2, Problem 23E
To determine

## To calculate: The limx→1x6−1x10−1 . Also confirm the result graphically.

Expert Solution

limx1x61x101=35 .

### Explanation of Solution

Given information:

Given limit as limx1x61x101

Consider the limits as, limx1x61x101

limx1x61x101=limx1(x3)212(x5)212=limx1(x31)(x3+1)(x51)(x5+1)=limx1(x1)(x2+1+x)(x3+1)(x1)(x4+x3+x2+x+1)(x5+1)=limx1(x2+1+x)(x3+1)(x4+x3+x2+x+1)(x5+1)=(1+1+1)(1+1)(1+1+1+1+1)(1+1)=35=0.6

Graph of the function is,

Therefore, limx1x61x101=35

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