Some logarithm fun @ohyeahh

Question

frostbite · Answer

Fast question any expressions you are more interested in than others?

anonymous · Answer

umm i wasnt talking about these actually..
i was talking about the expansions.. like
e^x= 1 + x + x^2/2! .... 
similarly log(1+x)= .....

frostbite · Answer

Right.

frostbite · Answer

Yea it is more by heart, at-least how I like to remember them.

frostbite · Answer

But I can see you got it figured out in the chat.

anonymous · Answer

Yeah. 
And thank you. I appreciate. :)

frostbite · Answer

But then I have a question:
How could be simplify this expression... been annoying me for quite some time:

frostbite · Answer

And solving it is not allowed btw.

anonymous · Answer

Cp is constant for a gas, solid or liquid right ig? I've only read Cp Cv for a gas.. 
Umm. solving isnt allowed.. hmm. i dont think i can help you..

frostbite · Answer

Right this is a thermodynamically expression for a system I'm analyzing with a few assumptions.
Well I mean by simply solving it we get the following attachment... I was thinking if we could describe it as a sum