college
posted by Mark on .
Find limit X approaches 1 for
((5X)^.5 2)/((2X)^.5 1)
email address: mark.hultgren@ca.usda.gov
Thank you.

Substitute x = 1  t and expand the squareroots in series using the formula:
sqrt[1 + y] = 1 + y/2 + O(y^2)
You should then find that the limit is 1/2 
or
Multiply by ((5X)^.5 + 2)/((5X)^.5 + 2)*((2X)^.5 + 1)/((2X)^.5 + 1)
which reduces your question to
Limit ((2X)^.5 + 1)/((5X)^.5 + 2) as x>1
= 2/4
= 1/2
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