That depends on what you mean by "reaching 1".
If you try to count all real numbers between 0 and 1, then yeah, you're never going to end.
If you keep summing a constant amount to zero, then you're going to reach it eventually.
Wrong.....count on your fingers or toes.
Um doesn't 1 come after 0
um 1 comes before 0 when counting backward
Nope... this is another paradox akin to Zeno's paradox of Achilles and the tortoise.
An infinite number of infinitesimal intervals can add up to a finite interval. It's done in integral calculus all the time.