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+0  
 
0
141
1
avatar+17 

I get 0 but I am not too sure if that is right.

 Dec 14, 2018
 #1
avatar+103913 
+1

 

 

lim                sqrt ( x^2 + 12x + 36)

x → - 6         _________________

                        x + 6

 

 

lim                 sqrt [ (x + 6)^2 ]               l  x + 6 l

x → - 6        ______________    =    _________

                         x + 6                               x + 6

 

  {  Remember that    sqrt (a^2)  =    l a  l      }

 

Note  that this limit does not exist as   x → - 6

 

The numerator will be positive approaching from the left side but the denominator will be negative

So....the result will be negative

 

The numerator and denominator will be positive approaching from the right side

So.....the result will be positive

 

See the graph, here  :  https://www.desmos.com/calculator/miohj798g0

 

 

cool cool cool

 Dec 14, 2018
edited by CPhill  Dec 14, 2018

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