Summation notation Write the following power series in summation (sigma)notation.

Solution 49E

Step 1:

We write the general term of the series as follows,

Taking part into consideration, we see

For , part =

Taking factorial part into consideration, we see

For , factorial part =

Taking signs into consideration, we see

For , signs varies as

Now, we write the as

Hence we write the series in sigma notation as : .