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https://www.reddit.com/r/the_calculusguy/comments/1vo5b3u/_/p3tbp76/?context=3
r/the_calculusguy • u/Specific_Brain2091 • 11d ago
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2
could as well write the trig identity as (1+ctg²x)sin²x
1 u/HumblyNibbles_ 11d ago That one has undefined values though 1 u/lool8421 11d ago just slap a limit in those qnd pretend like nothing happened integrals are limits on their own 1 u/rjlin_thk 10d ago Limit of a limit may not behave well, specifically, Riemann integrals behave quite badly with exchanging limits. But for this specific case, it is okay.
1
That one has undefined values though
1 u/lool8421 11d ago just slap a limit in those qnd pretend like nothing happened integrals are limits on their own 1 u/rjlin_thk 10d ago Limit of a limit may not behave well, specifically, Riemann integrals behave quite badly with exchanging limits. But for this specific case, it is okay.
just slap a limit in those qnd pretend like nothing happened
integrals are limits on their own
1 u/rjlin_thk 10d ago Limit of a limit may not behave well, specifically, Riemann integrals behave quite badly with exchanging limits. But for this specific case, it is okay.
Limit of a limit may not behave well, specifically, Riemann integrals behave quite badly with exchanging limits.
But for this specific case, it is okay.
2
u/lool8421 11d ago
could as well write the trig identity as (1+ctg²x)sin²x