# If #f(x) = ln(1+2x)#, where a = 2 and n = 3 how do you approximate f by a Taylor polynomial with degree n at the number a?

##### 1 Answer

Feb 21, 2017

#### Explanation:

The value of

So maybe you want to approximate the behaviour of the function around

If that is the case, you can apply the Taylor Series formulation to third degree:

And so we need these:

We can then say that: