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Solve the Problem. -Identify the Incorrect Statements About Limits

Question 203

Multiple Choice

Solve the problem.
-Identify the incorrect statements about limits.
I. The number L is the limit of f(x) as x approaches x0 if f(x) gets closer to L as x approaches x0.
II. The number L is the limit of f(x) as x approaches x0 if, for any Solve the problem. -Identify the incorrect statements about limits. I. The number L is the limit of f(x)  as x approaches x<sub>0</sub> if f(x)  gets closer to L as x approaches x<sub>0</sub>. II. The number L is the limit of f(x)  as x approaches x<sub>0</sub> if, for any   > 0, there corresponds a   > 0 such that   <   whenever 0 <   <  . III. The number L is the limit of f(x)  as x approaches   if, given any   > 0, there exists a value of x for which   <  . A) II and III B)  I and III C)  I and II D)  I, II, and III > 0, there corresponds a 11ee973f_819b_f751_b4fb_3d0ec1de4047_TB9662_11 > 0 such that 11ee9522_33bd_3b35_bdb6_3fed406e82d5_TB9662_11 < 11ee973f_819b_f751_b4fb_3d0ec1de4047_TB9662_11 whenever 0 < 11ee9522_33bd_3b36_bdb6_4bf39e340cdd_TB9662_11 < 11ee973f_819b_f751_b4fb_3d0ec1de4047_TB9662_11.
III. The number L is the limit of f(x) as x approaches 11ee9522_33bd_3b37_bdb6_113e3939d7c0_TB9662_11 if, given any 11ee973f_819b_f751_b4fb_3d0ec1de4047_TB9662_11 > 0, there exists a value of x for which 11ee9522_33bd_3b38_bdb6_cd7912aa6545_TB9662_11 < 11ee973f_819b_f751_b4fb_3d0ec1de4047_TB9662_11.


A) II and III
B) I and III
C) I and II
D) I, II, and III

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