!THE FOLLOWING MATH IS HIGHLY ILLOGICAL!
Hey guys, I've been talking to my friends Josh Speckman and Nate Ji
So, you've probably seen the . If not, here:
We will define three sums: , , and .
Looking at the first sum, we see that . Thus, .
Now we must solve the second sum. We get . Thus .
Now the last sum. We see that . So .
Now, I was showing my friends this, and they decided to continue along the theme of not-quite valid mathematics. So, here it is:
is the sum of the first positive integers, so it is . Since this is equal to , we get ,
Yay infinite divergent series!