SOLUTION: when will lim [(ax^2 + bx + c)/ (x^2 - x -6)] = 1 x->0 a) a = 0 b) a = 1 c) b = -1 d) c = -6 im getting 2 different answers so Im a bit confused... Please can so

Algebra ->  Trigonometry-basics -> SOLUTION: when will lim [(ax^2 + bx + c)/ (x^2 - x -6)] = 1 x->0 a) a = 0 b) a = 1 c) b = -1 d) c = -6 im getting 2 different answers so Im a bit confused... Please can so      Log On


   



Question 551693: when will
lim [(ax^2 + bx + c)/ (x^2 - x -6)] = 1
x->0
a) a = 0
b) a = 1
c) b = -1
d) c = -6
im getting 2 different answers so Im a bit confused...
Please can some one explain it to me with solution thanks...

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We can substitute directly because the function is continuous everywhere near 0 (the only "problems" are near -2 and 3), and obtain c = -6. We cannot claim any of the other choices, because they may or may not be true. Additionally, we cannot use L'Hopital's rule, because we need both limits to equal 0 or infinity.