evaluate the limit of indeterminate quotient [(7-x)^1/2 -(7+x)^1/2] / 2

i tried rationalizing and that didn't work

looking for starting point
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1 Answer

If y=(√(7-x)-√(7+x))/2 has a limited real range for y for the domain -7≤x≤7.

When x=-7, the expression becomes -√14/2; when x=7, it becomes √14/2.

Therefore the limited range is -√14/2≤y≤√14/2.
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