- #1
turkcyclone
- 9
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Homework Statement
Find the terms through x^5 in the Maclaurin series for f(x)
f(x)=tanx
Homework Equations
tanx=sinx/cosx
Maclaurin Series for:
sinx=x-x^3/3!+x^5/5!-x^7/7!...
cosx=1-x^2/2!+x^4/4!-X6/6!...
The Attempt at a Solution
I have done tanx=sinx/cosx
So I need to solve for (x-x^3/3!+x^5/5!-x^7/7!+x^9/9!)/(1-x^2/2!+x^4/4!-X6/6!+x^8/8!),
but I don't know how to solve this. Can someone help me with my division? Thanks!