# Taylor Series question

#### ganondorf29

1. Homework Statement
Determine the Taylor Series for f(x) = ln(1-3x) about x = 0

2. Homework Equations

ln(1+x) = $$\sum\fract(-1)^n^+^1 x^n /{n}$$

3. The Attempt at a Solution

ln(1-3x) = ln(1+(-3x))

ln(1+(-3x)) = $$\sum\fract(-1)^n^+^2 x^3^n /{n}$$

Is that right?

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#### Wretchosoft

The -1 is in the right place, but I'm not sure why the 3 migrated to the exponent.

#### ganondorf29

So is it:
$$\sum\fract(-1)^n^+^2 3x^n /{n}$$

#### e(ho0n3

You check it yourself by computing the first couple of terms in the Taylor series.

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