With the arrival of the information age I think we have produced way more smart people than ever before. The internet has become such a powerful tool to educate yourself, anybody with an cellphone has a tremendous amount of knowledge in their pocket. Too bad many people choose to not use it to it's fullest potential.
you might be confusing 'smartness' with something else entirely ... idiots educated beyond the level of their intellectual capacity is not a new phenomena .... probably the internet has just created a swag more of these dangerous fools .... case in point take jbreher with his dunning-kruger tendencies now leading him to write in overly-eloquent verbiage to convey trivial, and usually erroneous, meandering thoughts; then hops on his high-horse about a computer science and networking design matter that is clearly well-outside his grasp, and follows up to defend his bruised ego by championing a cause that is clearly to his economic detriment ... that fact alone encapsulates educated beyond their intelligence.
I've been meaning to ask, but what is the product series in your avatar?
The only things that come to mind are sine and cosine, but those are sums and have 2pi in their summands. So I thought it could be something along the lines of a log of a negative exponential due to the -1 factor that doesn't appear in the standard expression for the exponential series and the product could've been a result of a logarithm.
But that wouldn't really make sense either, unless you were deliberately trying to create a series that looks complicated, makes some references, but ultimately is just a fancy way to write something like "1".
Don't really feel like refreshing my analysis to figure out the limit of the series, hence my question.