remove crap
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@ -45,10 +45,6 @@ $
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$
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$
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a_n &= sqrt(n^2+n)-n \
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=> lim_(n -> infinity) a_n &= lim_(n -> infinity) sqrt(n^2+n)-n \
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&= lim_(n -> infinity) sqrt(n^2+n)-n \
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&> lim_(n -> infinity) sqrt(n^2)-n = 0 \
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lim_(n -> infinity) a_n &= lim_(n -> infinity) sqrt(n^2+n)-n \
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lim_(n -> infinity) a_n &= lim_(n -> infinity) sqrt(n^2+n)-n \
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&= lim_(n -> infinity) (sqrt(n^2+n)-n) dot (sqrt(n^2+n)+n)/(sqrt(n^2+n)+n) \
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&= lim_(n -> infinity) (sqrt(n^2+n)-n) dot (sqrt(n^2+n)+n)/(sqrt(n^2+n)+n) \
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&= lim_(n -> infinity) ((sqrt(n^2+n)-n) dot (sqrt(n^2+n)+n))/(sqrt(n^2+n)+n) \
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&= lim_(n -> infinity) ((sqrt(n^2+n)-n) dot (sqrt(n^2+n)+n))/(sqrt(n^2+n)+n) \
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