- #1
Cal124
- 28
- 0
Sorry, I am really struggling with the precise definition of the limit. I have a specific question I'm trying to work out
lim(x->2) (4x2+2)=18
skipping the introduction part
any advice? I am just not sure how to get rid of the 2 value to re-arrange |(4x2+2)-18| to look like |x-2|
|x-2|<delta |(4x2+2)-18|<epsilon
|(4x2-16|<epsilon
I did go down the route of
|(4x2+2)-18| = |2x+4| |2x-4|<epsilon
but this step just lead me to the same problem
lim(x->2) (4x2+2)=18
skipping the introduction part
any advice? I am just not sure how to get rid of the 2 value to re-arrange |(4x2+2)-18| to look like |x-2|
|x-2|<delta |(4x2+2)-18|<epsilon
|(4x2-16|<epsilon
I did go down the route of
|(4x2+2)-18| = |2x+4| |2x-4|<epsilon
but this step just lead me to the same problem