Since the limit becomes the undetermined form
it means that both polynomials have a root at 
. So, we can fact both numerator and denominator:
So, the fraction becomes
Now, as x approaches 1, you have no problems anymore:
The answer is:
Justin weighs 165 pounds.
Greg weighs 180 pounds.
If:
j - Justin's weight
g - Greg's weight
Then the system of equations is:
j + 15 = g ⇒ g = j + 15
1/2g = j - 75 ⇒ j = 1/2g + 75
We can replace j in the first equation:
g = <span>1/2g + 75 + 15
g - 1/2g = 90
1/2g = 90
</span>⇒ g = 90 ÷ 1/2 = 180
<span>
Thus, Greg weighs 180 pounds.
Now, using the first equation, we will calculate Justin's weight:
</span>j + 15 = g ⇒ j = g - 15
g = 180
Thus
<span>j = g - 15 = 180 - 15 = 165
</span>
Therefore, <span>Justin weighs 165 pounds.</span>
