How to Multiply by a Conjugate with Multiple Terms?

[dimpledur]

multiplying by a conjugate??

Homework Statement

I am dealing with a limit, however, I am not sure how to multiply by a conjugate when there are two variables and three terms on top. For example

lim [3h + sqrt( 2x +2h) - sqrt( 2x)] / h
h->0


i don't need help solving it, i just need to know how would we multiply it by a conjugate when there are more than 2 terms?

 

[Dick]

I don't know how you got that but lim h->0 3h/h=3. There. Now you only have two terms in the numerator.

 

[cam875]

how did you get h=3?, I tried the problem as well and got stuck.

 

[Dick]

how did you get h=3?, I tried the problem as well and got stuck.

I didn't get h=3. I got limit h->0 3h/h=3. That leaves you with figuring out limit h->0 (sqrt(2x+2h)-sqrt(2x))/h.