How do you figure out the:
lim X-> OO (x-3)^8 (2-X)^3/ (X-5)^5 (4-X)
You could divide all of the terms in the expression by the highest term in the denominator. The highest term in the denominator would be , and the highest term in the numerator would be . This way you can find out that there will be a expression left meaning the limit as x approaches infinity is infinity.