Question

Find the limit

\[\lim_{y \rightarrow 2-} (y-1)(y-2)/y+1 \]

Answer 1

do we use factorizing method here?

Answer 2

just plug the number in, and think about which terms will be positive and negative just to the left of 2

Answer 3

oh wait, what am I saying?
just plug it in...

Answer 4

1/3 .. right?

Answer 5

but in the book the answer is 0 ?

Answer 6

(2-1)(2-2)=0

Answer 7

\[\lim_{y\to2^-}{(y-1)(y-2)\over y+1}\]look at the numerator to see why it's zero

Answer 8

(1)(0)/(2+1) = 0/3 = 0

Answer 9

oh yea right .. I forgot multiplication of numerator .. Thanks