SOLUTION: Can you please explain the process of how to determine if the function is continuous at 5? {{{(2x^2 + 3x + 1)/(x^2 + 5x)}}}

Algebra ->  Finance -> SOLUTION: Can you please explain the process of how to determine if the function is continuous at 5? {{{(2x^2 + 3x + 1)/(x^2 + 5x)}}}      Log On


   

Question 1087581: Can you please explain the process of how to determine if the function is continuous at 5? %282x%5E2+%2B+3x+%2B+1%29%2F%28x%5E2+%2B+5x%29
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The point x= 5 is THE REGULAR POINT of the denominator.


The denominator is equal to 5%5E2+%2B+5%2A5 = 50 at this point and does not vanish.


So, the function is continuous at x= 5 without any doubts.