   Chapter 6.3, Problem 52E

Chapter
Section
Textbook Problem

# 47-52 Find the limit. lim x → ∞ [ In ( 2 + x ) − In ( 1 + x ) ]

To determine

To find: Find the limit limxln2+x-ln(1+x)

Explanation

Calculation:

We have to find the limit limxln2+x-ln(1+x).

We use the formula

lna-lnb=lnab

So, limxln2+x-ln1+x=ln2+x1+x

=ln1+2x1+1x

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