Posted by Nick on Thursday, January 8, 2009 at 4:22am.
The power series for tan y is
y + y^3/3 + 2 y^5/15 .... for small y
so the biggest term in tan 2x would be 2x for x <1
so the biggest term in tan^3 2x would be 8 x^3
and 8 x^3/x^3 = 8
Ohhh, thanks Damon!
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