3. Just Take it to the Limit For this problem, evaluate the limit if it exists, or state why a particular limit does not exist. If the limit is infinite, specify the sign (oo or-oo). Show all work and state any theorems or special limits used justifying why you have met the conditions of any theorems you use. (a) lim arctan(lnx) 2404 (b) lim In(x - 1) x2 (c) lim x² e-322 1-400

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3.
Just Take it to the Limit
For this problem, evaluate the limit if it exists, or state why a particular limit does not exist. If the limit is
infinite, specify the sign (+∞o or-00). Show all work and state any theorems or special limits used
justifying why you have met the conditions of any theorems you use.
(a) lim arctan(lnx)
240+
(b) lim
In(x - 1)
x2
(c) lim x²e-322
1-700
Transcribed Image Text:3. Just Take it to the Limit For this problem, evaluate the limit if it exists, or state why a particular limit does not exist. If the limit is infinite, specify the sign (+∞o or-00). Show all work and state any theorems or special limits used justifying why you have met the conditions of any theorems you use. (a) lim arctan(lnx) 240+ (b) lim In(x - 1) x2 (c) lim x²e-322 1-700
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