Question

Write the taylor series (about x =0) of sin(2x^3). Using this, find the lim x-> 0 of (2x^3)(sin(2x^3))/(x^9))

Answer 1

Need to go afk right now, but will give 10 points when I'm back.

Answer 2

do you know the taylor series for sine? this one you should have memorized

Answer 3

take that, and replace \(x\) by \(2x^3\)