Finding Limits with DeltaX: An Essential Tool for Calculus

[Witcher]

Homework Statement

Lim as F(x)= (x+δx)^2-2(x+δx)+1(x^2-2x+1)/δx
δx-> 0

I have a δx left over and i don’t know how to get rid of it.

Relevant Equations

Lim as F(x)= (x+δx)^2-2(x+δx)+1(x^2-2x+1)/δx
δx-> 0

How can i get rid of the last delta x

 

[PeroK]

I have a δx left over and i don’t know how to get rid of it.
How can i get rid of the last delta x

Take the limit as $\delta x \rightarrow 0$.

 

[Witcher]

like this right

 

[PeroK]

like this right

The idea is correct. I would say you need to keep $\lim_{\Delta x \rightarrow 0}$ in every line until you take the limit.