Maclaurin series

a. Find the first four nonzero terms of the Maclaurin series for the given function

b. Write the power series using summation notation.

c. Determine the interval of convergence of the series.

f(x)= ln(l + x)

Solution 12E

Step 1:

(a). We have to find the first four nonzero terms of the Maclaurin series for the function

)

The maclaurin series of a function

Therefore