Limits Question (1 Viewer)

[GaDaMIt]

Lim x^2 – x – 2
--------------
x-> 2 x^2 – 5x + 6




sub in x = 2 straight away…

4 – 2 – 2
-----------
4 – 10 + 6

=0/0



factorise first

(x-2)(x+1)
-------------
(x-3)(x-2)

(x+1)
------
(x-3)

sub in x=2

-3




why the different answers?

 

[vizman]

you havfta factorise because you can't let the denominator = 0.

 

[Sober]

why the different answers?

0/0 is an indeterminate value meaning that it cannot be solved, its value could equal anything on the number line. So although the two answers are different they are not conflicting.