Question

how to solve:
lim x->2 (x^2-4x+4)/(x-2)

Answer 1

you use the distributive property.

Answer 2

what math is this

Answer 3

limits and continuity

Answer 4

factor the numerator then simpify

Answer 5

Very SImple..
\[\lim_{x->2}\frac{ (x-2)^2 }{ (x-2) }=> \lim_{x->2}(x-2) = 0\]

Therefore the limit doesn't exist because If x is near to 2 but a little higher, both these are positive so you get +∞
And,
if x is close to 2 but a little lower, the top is positive but the bottom is negative so you get
- ∞

Answer 6

yes i agree

Answer 7

+??? = + infinity
-??? = -Infinity

Answer 8

thanks, thats what I started doing, but did not like the 0 ;)