Working with binomial series Use properties of power series, substitution, and factoring of constants to find the first four nonzero terms of the Taylor series centered at 0 for the following functions. Use the Taylor .series

Solution 46E

Step 1:

We have given the Taylor series

We have to find the first four nonzero terms of the Taylor series centered at 0 for the function

Step 2:

We have given the Taylor series of to find the the Taylor series of we just need to replace x by

Then we get the resulting series as follows