Use the graph of the function f to find , and , if the limit exists.
A) ; ;
B) ; ;
C) ; ; does not exist
D) ; ;

Question

Use the graph of the function f to find  ,  and  , if the limit exists. ​  ​
A) ; ; 
B) ; ; 
C) ; ; does not exist 
D) ; ;

Quizplus · Accepted Answer

For 11eb651f_cb87_5e99_b0a1_5513803bed42_TB8255_11 , we can see that the limit as x approaches 1 from the left and right both exist and are equal to 2. Therefore, the limit exists and is equal to 2.
For 11eb651f_cb87_5e9a_b0a1_33542a3209a6_TB8255_11 , we can see that as x approaches 2 from the left and right, the function has vertical asymptotes. Therefore, the limit does not exist.
For 11eb651f_cb87_5e9b_b0a1_ef0b48107743_TB8255_11 , we can see that as x approaches 3 from the left and right, the function is approaching positive infinity. Therefore, the limit exists and is equal to positive infinity.

Use the Graph of the Function F to Find