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Chapter 1: Q. 65 (page 149)

Calculate each limit in Exercises 35鈥�80.

limx鈫�鈭�lnx2-ln(2x+1)

Short Answer

Expert verified

The limit is infinity

Step by step solution

01

Step 1. Given information    

The given expression is limx鈫�鈭�lnx2-ln(2x+1)

02

Step 2. Calculation    

The limit is calculated as below,

limx鈫�鈭�lnx2-ln(2x+1)=limx鈫�鈭�lnx22x+1=limx鈫�鈭�lnx2x22xx2+1x2=limx鈫�鈭�ln12x+1x2=ln12鈭�+1鈭�2=ln10+0=ln鈭�=鈭�

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Most popular questions from this chapter

Use algebra to find the largest possible value of 未 or smallest possible value of N that makes each implication true. Then verify and support your answers with labeled graphs.
Ifx>N, then1鈭�2x<鈭�500

Write each of the inequalities in interval notation:

0<|x-2|<0.1

Write delta-epsilon proofs for each of the limit statements limx鈫�cfx=Lin Exercises 47-60.

limx鈫�12x+4=6.

Write each of the inequalities in interval notation:

3x+1-2<0.1

For each function f graphed in Exercises 23鈥�26, describe the intervals on which f is continuous. For each discontinuity of f, describe the type of discontinuity and any one-sided continuity. Justify your answers about discontinuities with limit statements.
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