# How do you find the 1st 4 nonzero terms in the Taylor series expansion about x=0 for #f(x)= sqrt(1+x)#?

##### 1 Answer

Jun 27, 2015

#### Explanation:

For a general function

This can be written more concisely with summation notation as

In this case, we have

Note that

This gives:

So the first 4 nonzero terms of the Taylor expansion about

PS: I hope there are no errors. :)