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Find the limit, if it exists. (If an answer does not exist, enter DNE.)

lim
x→∞
sqrt(25x^2 + x) − 5x

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(sqrt(25x^2 + x) − 5x) * (sqrt(25x^2 + x) + 5x)/(sqrt(25x^2 + x) + 5x)

(25x^2+x - 25x^2)/(sqrt(25x^2 + x) + 5x)

--> x/(5x+5x) = 1/10

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