I was just playing around with complex numbers and I came up with something that I found really intriguing, but very bizarre and puzzling.
Note: I am just having fun, so, please do not take the following very seriously..But sure, please tell me in the comments whether it is correct or not.
My first goal was to find the value of . I tackled this in the following way:
Substituting this value of ,
After having found this value, I took it one step further (towards insanity!)
What is the value of , where there are iotas.
Taking on both sides,
Note: I know doesn't exist, but as I said : just having fun.
Differentiate on both sides wrt ,
Assuming is differentiable over all ,
Take on both sides.
If , then
I know this may be terribly wrong, but I was just bored of studying, and decided to do all this crazy stuff just for fun.
Anyways, please be nice in the comments and tell me what you think.!