Question 178245
lim (2-square root over (x+4))/x
x=0 
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What does this mean?
Is it lim(as x goes to zero) of [sqrt(x+4)/x] ?
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If that is what you mean the limit does not exist.
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But if you mean Lim(as x goes to zero ) of sqrt[(x+4)/x)]
The answer is lim(etc.)sqrt(1+4/x) = 1
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Your other postings are also difficult to interpret.
Using parentheses usually makes postings more comprehensible.
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Cheers,
Stan H.