SOLUTION: Approximate the limit from a graph of the function, and then find the limit algebraically. Thanks! {{{matrix(2,1,lim,"x->5")}}}{{{(sqrt(x)-2)/(x-5)}}}

Algebra ->  Test -> SOLUTION: Approximate the limit from a graph of the function, and then find the limit algebraically. Thanks! {{{matrix(2,1,lim,"x->5")}}}{{{(sqrt(x)-2)/(x-5)}}}      Log On


   

Question 1082309: Approximate the limit from a graph of the function, and then find the limit algebraically. Thanks!
matrix%282%2C1%2Clim%2C%22x-%3E5%22%29%28sqrt%28x%29-2%29%2F%28x-5%29
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%282%2C1%2Clim%2C%22x-%3E5%22%29%28sqrt%28x%29-2%29%2F%28x-5%29

The limit does not exist because the denominator approaches 0
as x approaches 5, but the numerator approaches a finite number.

There is an asymptote on the graph of %22f%28x%29%22%22%22=%22%22%28sqrt%28x%29-2%29%2F%28x-5%29 at 5, (the green dotted line).



Edwin