In Exercises $49-64,$ find the limit (if it exists). $$ \lim _{\Delta x \rightarrow 0} \frac{2(x+\Delta x)-2 x}{\Delta x} $$
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Step 1: Expand the numerator: $$2(x+\Delta x) - 2x = 2x + 2\Delta x - 2x = 2\Delta x$$ Show more…
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