+0  
 
0
188
1
avatar+1900 

Lim        (8(sqrt(x)))/x

x ---> 0

 

How do I solve this problem?  Please show step-by-step how to get to the answer.

 Aug 22, 2018
 #1
avatar+98130 
+3

Note that this function only approaches 0  from the right

 

lim              8√x  / x   =

x→ 0+

 

lim              8  / √x

x → 0+

 

As  x   approaches  0,  √x  is  an extremely small positive number  [but not 0 ]

 

So      8  /  [ an extremely small number ]  =  infinity

 

So.....since the limit is infinite....this  limit doesn't actually exist 

 

 

cool cool cool

 Aug 22, 2018
edited by CPhill  Aug 23, 2018

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