I'm having a lot of trouble with this problem.

Let be a random sample of sizze n from a geometric distribution with pmf ,

Let .Find, the mgf of . Then Find the limiting mgf lim as n goes to infitinity. What is the limiting distribution of

I'm a little lost.

I can find the mgf of which is

so... if there was a factor of of ... does that mean the mfg for is ?

or... instead of i'll have

How about the bit of ... ?

and then the limit just equal to zero... if term exists....

distribution just 0? doesn't make sense...

I'm very confused!