Wednesday

October 1, 2014

October 1, 2014

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

lim as x->0 (tan^3 (2x))/(x^3)

- Calc -
**Damon**, Thursday, January 8, 2009 at 5:51amThe 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 -
**Nick**, Thursday, January 8, 2009 at 5:52amOhhh, thanks Damon!

**Answer this Question**

**Related Questions**

Calc - Use a table of values to estimate the value of the limit. lim (tan 3x/tan...

calc - need to find: lim as x -> 0 of 4(e^2x - 1) / (e^x -1) Try splitting ...

calc - Use L’Hopital’s rule to find the limit of this sequence (n^100)/(e^n) ......

Calc - I have a test soon.. and I really need to know how to do this problem.. ...

calculus (limits) - lim h>0 sqrt(1+h)-1/h not sure how to factor this; not ...

calc bc (condensed - is the limit as x approaches 0 of sin3x over 3x equal to ...

math - i need some serious help with limits in pre-calc. here are a few ...

Calc. Limits - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0...

calc - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/0= +/- ...

Calc Please Help - Are these correct? lim x->0 (x)/(sqrt(x^2+4) - 2) I get 4/...