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in Limits and Derivatives by (15.2k points)

Evaluate:

limx\(\rightarrow\)0 \(\frac{(x+5)^2 - 25}{x}\)

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1 Answer

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 limx\(\rightarrow\)0 \(\frac{(x+5)^2 - 25}{x}\)

=  limx\(\rightarrow\)0 \(\frac{x^2 + 10x + 25 - 25}{x}\)

 =  limx\(\rightarrow\)0 (x + 10) = 10

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