We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
232
1
avatar+1904 

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+100519 
+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

14 Online Users