The answer to either is one which no one can be absolutely sure. Historically, our planet has seen many animals become extinct or endangered. Our planet, on the other hand, has been able to survive pollution, abuse, drastic temperature changes, and billions of people existing upon it for around 4.54 billion years. That said, one can only assume that the world will be able to exist for a very, very long time.
The ability to survive for the human race, on the other hand, is far to determined by a multitude of other factors. Global war, global natural disasters, weapons of mass destruction, and other destructive "things" can end life on Earth as we know it. Unfortunately, one cannot foresee any of the above. One can only, instead, assume that there are things which could end the human race.