Derivation of bessel generating function

[arunavdev]

Homework Statement

The bessel generating function:
exp(x*(t-(1/t))/2)=sum from 0 to n(Jn(x)t^(n))

Homework Equations

The Attempt at a Solution

exp(x*(t-(1/t))/2)=exp((x/2)*t)exp((x/2)*(1/t))
used the McLaurin expansion of exponentials. Not sure how to bring the powers equal to that of the right hand side.
How could I type symbols wthout using latex.

Thanx

 

[SammyS]

To type symbols without using latex: Look at this https://www.physicsforums.com/blog.php?b=347" from Redbelly98.