Question

find the limit if it exists. i did all of the work, just not sure if it's correct. take a look please!

lim Δx->0
(x+Δx)^2-2(x+Δx)+1-(x^2-2x+1) / Δx

Answer 1

so far i got 2x+(Δx)-2

Answer 2

after all of the factoring and stuff. im not totally sure what to do after that though. plug in the 0 into the Δx?

Answer 3

bingo

Answer 4

yes so then whatever you get after that is the limit

Answer 5

2x+0-2? so the answer is lim Δx-> =2x-2?

Answer 6

yes

Answer 7

alrighty thanks

Answer 8

anytime