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Please get me started on showing that the following limit exists 
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#1
Mar1412, 05:41 PM

P: 108

1. The problem statement, all variables and given/known data
Evaluate the limit or show it doesn't exist. (x→∞) lim ((x+2)/√x) where (x > 0) 2. Relevant equations 3. The attempt at a solution I know how to solve it if x → c but i don't know how to start it when it goes to infinity. I just need a hint as to how to start the problem. 


#2
Mar1412, 06:02 PM

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#3
Mar1412, 09:34 PM

P: 108

so after evaluating, i found that the limit does not exists... am i correct? work: ((x+2)/√x)/1  Does not exist since the numerator is always bigger than the denominator x→∞, x > o 


#4
Mar1412, 10:00 PM

P: 392

Please get me started on showing that the following limit exists
[itex]\displaystyle\frac{a + b}{c} = \frac{a}{c} + \frac{b}{c}[/itex]. 


#5
Mar1412, 11:54 PM

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P: 21,397

Also, because x is approaching infinity, you don't need to say that x > 0. 


#6
Mar1512, 07:13 AM

P: 108




#7
Mar1512, 08:33 AM

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P: 21,397

The one you're thinking of is f(x) = (1)^{x}. Without parentheses, what you wrote is the same as (1^{x}). 


#8
Mar1512, 09:05 AM

P: 108

Thank you. I think i understand now.



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