Question

-Calculate the limit:
1. lim x→∞ (ln(3x+1) -ln(2x+1))

2. lim x→∞ (ln sqrt 5x^2+2)-lnx)

Answer 1

apply the log rules

you know
ln A -ln B =... ?

Answer 2

= a-b ?

Answer 3

noo....ln A-ln B = ln (A/B)
so, what about ln(3x+1) -ln(2x+1)
?

Answer 4

3x+1 divided by 2x+1
Answer is x+1 ?? am I right?

Answer 5

nopes,
from both numerator and denominator of
(3x+1)/ (2x+1)
can you factor out the x ?

Answer 6

if i factor x from top and bottom, i'd have x(2x+1)/ x(x+1) on the bottom

Answer 7

ok im stuck :/