Before I continue, it is really important that we understand a key difference in this EOS vs Ethereum . While Ethereum is a highly established blockchain project with a fully functional platform, EOS is still in its very early days. However, the team has some huge ambitions. There is a finished product though, there is no way to guarantee whether they will achieve all of their goals.
Ethereum is currently stuck at 15 transactions per second, whereas EOS are planning to raise the bar and scale to millions of EOS transactions per second. Till July 2018, EOS has successfully managed 1,000 EOS transactions per second. The team achieved during its testing phase three months ago. This is already significantly better than Ethereum, however, it is well short of its ultimate target. This would not only make it the most scalable blockchain in the industry, but it would be able to handle any real-world application.

Here’s a comparison table to compare both project after this i think all doubts would be cleared.

will EOS Overtake Ethereum??

EOS has potential to do this but there is so many factor which will effect this but sooner or later i could be happen.