Use graphs and tables to find the limit and identify any vertical asymptotes of the function. limit of x divided by the quantity x minus 5 as x approaches 5 from the left

If you make a table and graph the data, you will see that as 5 is approached from the left, the function goes to negative infinity.  this is because 5 is a vertical asymptote.  va's are found where the denominator of a rational function equals 0.  5-5=0, so the va is at x = 5.