# What is the maclaurin series of #ln(1-3x)#?

##### 1 Answer

Maclaurin series of

#### Explanation:

A Maclaurin series is just a Taylor series expansion of a function about 0:

In our case,

Differentiate using the chain rule to get

Differentiate the first derivative using the quotient rule to get

Differentiate the second derivative using a combination of the quotient rule and the chain rule for the derivative of the denominator to get

Plug these values into the definition of the Maclaurin series and you'll get the answer for the first four terms: