Question

Find the limit.
lim x->3 (sqrt(x+6) -x)/(x^3-3x^2)

Answer 1

easy way to solve it is through graphical approach...best and quick

Answer 2

have you studied l'Hospital's rule?

Answer 3

not yet

Answer 4

l'Hospital's rule is probably unnecessary for this limit but might make it easier to find which is why I want to know if @LimitsandStuff can use this method before delving into it deeper

Answer 5

ok//?

Answer 6

Use L'hopitals rule to solve it. Differentiate the numerator and denominator separately and substitute the 3 into and you will get 0.5 as an answer