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How to get a sigma style result from Series[]?

I use Series[] a lot, but would like the output to the equivalent to Series[Sin[x], {x, Infinity, 0}] to be like.enter image description here

POSTED BY: Marvin Ray Burns

Try:

Asymptotic[Sin[x], {x, 0, Infinity}] /. \[FormalN] -> k
POSTED BY: Mariusz Iwaniuk
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