Use the precise definition of a limit to prove the limit. Specify a relationship between ? and ? that guarantees the limit exists.
x4 = 16
A. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
= 
That is, for any ? > 0, 
= ? whenever 0 < 
< ?, provided 0 < ? ? 
. Therefore, 
x4 = 16.
B. ? = min
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
= 
That is, for any ? > 0, 
= ? whenever 0 < 
< ?, provided 0 < ? ? 
. Therefore, 
x4 = 16.
C. ? = min 
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
< 
That is, for any ? > 0, 
< ? whenever 0 < 
< ?, provided 0 < ? ? 
. Therefore, 
x4 = 16.
D. ? = min 
; Let ? > 0 and assume 0 < 
< ?. Then 
= 
< 
That is, for any ? > 0, 
< ? whenever 0 < 
< ?, provided 0 < ? ? 
.
Therefore, 
x4=16.
Answer: D
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