Xardin Jan 20, 2021

Answer it::: $\lim_{\Delta x \to 0} \dfrac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}$

answers: 1

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Answer:

Step-by-step explanation:

So we want to find the limit:

Expand the numerator:,

Simplify the numerator. Combine like terms:,

The first term terms cancel:

Factor out a Δx:

The Δxs cancel:

Now, use direct substitution:

Therefore :

Mojar

Jan 20, 2021

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