Calc

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

• Calc -

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

• Calc -

Ohhh, thanks Damon!

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