Answer:
Continuous compounding is like compound interest, but it is continuous; in other words, it is compounded an infinite amount of times, making it an extreme version of compounding.
Because of this, you would have an infinite amount of money; this means continuous compounding would give you more.
"How much more?" you may ask. Well, infinitely
Infinity - $6568.67 (That is the monthly compound interest) still = infinity.
Hope this helped :)