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.gitignore vendored
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**.pdf
src/main.pdf
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src/vorlesungen/1.typ
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@ -45,6 +45,10 @@ $
] ]
$ $
a_n &= sqrt(n^2+n)-n \
=> lim_(n -> infinity) a_n &= lim_(n -> infinity) sqrt(n^2+n)-n \
&= lim_(n -> infinity) sqrt(n^2+n)-n \
&> lim_(n -> infinity) sqrt(n^2)-n = 0 \
lim_(n -> infinity) a_n &= lim_(n -> infinity) sqrt(n^2+n)-n \ lim_(n -> infinity) a_n &= lim_(n -> infinity) sqrt(n^2+n)-n \
&= lim_(n -> infinity) (sqrt(n^2+n)-n) dot (sqrt(n^2+n)+n)/(sqrt(n^2+n)+n) \ &= lim_(n -> infinity) (sqrt(n^2+n)-n) dot (sqrt(n^2+n)+n)/(sqrt(n^2+n)+n) \
&= lim_(n -> infinity) ((sqrt(n^2+n)-n) dot (sqrt(n^2+n)+n))/(sqrt(n^2+n)+n) \ &= lim_(n -> infinity) ((sqrt(n^2+n)-n) dot (sqrt(n^2+n)+n))/(sqrt(n^2+n)+n) \