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limx→∞1x(13+1x+13+2x+13+3x+⋯+13+xx)= ?\lim_{x\to\infty} \dfrac{1}{x} \left(\dfrac{1}{3+\dfrac{1}{x}}+\dfrac{1}{3+\dfrac{2}{x}}+\dfrac{1}{3+\dfrac{3}{x}}+\cdots+\dfrac{1}{3+\dfrac{x}{x}}\right) = \, ? x→∞limx1⎝⎜⎛3+x11+3+x21+3+x31+⋯+3+xx1⎠⎟⎞=?
Give your answer rounded to 3 decimal places.
If you come to the conclusion that the limit diverges, enter 1.772.
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