perspektivo

No -iv- here, and that is worth stating plainly because -iv- is a real suffix in Esperanto, just not an official one. Among the neoficialaj afiksoj it is the one meaning "able to, tending to": produktiva productive, kreiva creative, instruiva instructive. Every one of those is built on a verb that exists in its own right, and that is the tell. There is no perspekti, so there is nothing for -iv- to attach to, so perspektivo is not a derivation. It is a single root, perspektiv-, and the -o is the only ending in it.

That distinction matters more than the individual word. The unofficial affixes are productive enough to be tempting and irregular enough to be a trap: you can usually reverse a genuine -iv- word into its verb and check. If the verb is not there, the suffix is not there either.

Three senses, all live. First the geometric one in the third example, the draughtsman's technique of making a flat surface look deep, which is where the word started around 1400. Second the figurative extension of that, a point of view: el mia perspektivo, el la perspektivo de la laboristo. Third, and this is the one English speakers under-use, the forward-looking one: perspektivoj in the plural means prospects, the outlook for something. That third sense is the reason the gloss on this page carries a semicolon rather than a comma. Perspective and prospect are not two English words for one idea; they are two ideas sharing an Esperanto word.

For the point-of-view sense specifically, vidpunkto at rank 1560 is the plainer and more Esperanto-ish option, built from vidi and punkto the way the language prefers. Use it when you can. Perspektivo is the right word when the depth or the distance is part of what you mean.