How do you find the first three terms of a Maclaurin series for f(t) = (e^t - 1)/t using the Maclaurin series of e^x?
1 Answer
Apr 20, 2018
We know that the Maclaurin series of
We can also derive this series by using the Maclaurin expansion of
f(x)=sum_(n=0)^oof^((n))(0)x^n/(n!) and the fact that all derivatives ofe^x is stille^x ande^0=1 .
Now, just substitute the above series into
If you want the index to start at
Now, just evaluate the first three terms to get