find the limit.
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find the limit.
Change y=1/x and y-->0
sqrt(25/y^2 + 1/y) - 5/y=
sqrt[(25 + y)/y^2] - 5/y=[sqrt(25+y) - 5]/y
Let's complete the square from 25+y by +/-(y/10)^2
25+y=25 + 2* 5* y/10 + (y/10)^2 - (y/10)^2=(5+y/10)^2-(y/10)^2
Continue sqrt[(5+y/10-5]/y=1/10
lim(x-->infinity)=1/10
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