A few days ago
What is the lim as x goes to 0 when [ [(1/2+x) – (1/2)] /x]?
What is the lim as x goes to 0 when [ [(1/2+x) – (1/2)] /x]?
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A few days ago
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[ ( 1/(2+x) ) – (1/2) ] /x
= (2 – 2 – x) / 2(2 + x)x
= -x / 2(2 + x)x
= -1 / 2(2 + x)
As x –> 0, this expression has limit -1/4.
0
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