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posted by Nick on Thursday, January 8, 2009 at 4:22am.

Can someone help me with this calc problem? lim as x->0 (tan^3 (2x))/(x^3)

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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