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บ) oln ()X

Question

How would I approach this problem algebraically, and analytically? I have attached a photo.

บ) oln ()
X
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บ) oln () X

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check_circleAnswer
Step 1

To find:

lim In
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lim In

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Step 2

Compute the limit as follows.

2
= In lim
(Take limit inside ln)
lim In
x-+0
1
=In 2lim
x
limef (x)climf (x))
2
xa
Xa
f (x) limf(x
: lim
g(x)
lim g (x)
lim 1
= In
xa
2
lim x
xa
xa
2(1)
In
me-)
: lim
=
lim x2
xa
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2 = In lim (Take limit inside ln) lim In x-+0 1 =In 2lim x limef (x)climf (x)) 2 xa Xa f (x) limf(x : lim g(x) lim g (x) lim 1 = In xa 2 lim x xa xa 2(1) In me-) : lim = lim x2 xa

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Step 3

On further simpli...

2
In
2
lm In
lim
2
In
In (0)
--)
lim In x
=-oo
=
x0
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2 In 2 lm In lim 2 In In (0) --) lim In x =-oo = x0

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Calculus

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