Limits - Example 5


Let  g  be the piecewise defined function given by the equations on the left and graphed on the right:

 

Try to find each of the following limits.   Then check your work by looking at my solutions.    
(It’s easiest to just look at the graph to find the limits.)

(A)    

                 answer

(B) 

 

                answer

(C)  

 

               answer

(D)  

 Is g continuous at
       
x = -3 ?

                answer

(E)  

   

               answer

(F) 

   

                answer

(G)  

      

                answer

(H)  

 Is g continuous at
         x = -1 ?

                answer

(I)    

   

              answer

(J)   

     

              answer

(K)    

     

             answer

(L) 

Is g continuous at
        x = 1 ?

                answer

(M)  

 

             answer

(N)   

   

             answer

(O)    

  

            answer

(P) 

Is g continuous at
         x = 2 ?

                answer

(Q)  

      

             answer

(R)   

    

             answer

(S)    

     

            answer

(T)  

Is g continuous at
         x = 4 ?

                answer

 


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Rafael Espericueta
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