SOLUTION: how to solve an equation like this? help me please :( lim as x approaches to 4 y= -8/√x +4/(x-4)

Algebra ->  Equations -> SOLUTION: how to solve an equation like this? help me please :( lim as x approaches to 4 y= -8/√x +4/(x-4)      Log On


   

Question 1107800: how to solve an equation like this?
help me please :(
lim as x approaches to 4
y= -8/√x +4/(x-4)
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


For x close to 4, -8%2Fsqrt%28x%29+=+-8%2F2+=+-4.

As x approaches 4 from the left, the value of 4%2F%28x-4%29 goes to negative infinity, because the denominator is very small negative. But as x approaches 4 from the right, the value of 4%2F%28x-4%29 goes to positive infinity, because the denominator is very small positive.

Since the limit of the expression is negative infinity as x approaches 4 from one side and positive infinity as x approaches 4 from the other side, the limit as x approaches 4 does not exist.