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Arnold's Trivium
1991 Arnold's Trivium
2
Problem 2
Problem 2
Source:
July 1, 2010
limit
trigonometry
Problem Statement
Find the limit
lim
x
→
0
sin
tan
x
−
tan
sin
x
arcsin
arctan
x
−
arctan
arcsin
x
\lim_{x\to0}\frac{\sin \tan x-\tan\sin x}{\arcsin\arctan x-\arctan\arcsin x}
x
→
0
lim
arcsin
arctan
x
−
arctan
arcsin
x
sin
tan
x
−
tan
sin
x
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