What limits? “Species accumulate mutations in response to selective pressures which result in new species being formed” is nothing new. It’s the foundation of evolutionary biology. Each specialized species is subject to selection, which drives further evolution.
Single-celled lifeforms ingest metabolic bacteria. These bacteria provide a lot of energy for low (name removed by moderator)ut. This creates mitochondrial cells.
Some mitochondrial cells mutate a set of instructions to encase the free-floating DNA in a protective membrane, creating the eukaryotes.
Some eukaryotes begin living in colonies with other eukaryotes and lose certain abilities in order to specialize into others for the good of the colony, creating multicellular life.
Some multicellular organisms have cells that specialize into information storage and transmission. These individuals proliferate widely due to their increased individual activity.
Some brainy individuals begin to evolve larger internal organs and lose their exoskeletons in favor of fully internal support structures, creating fish.
Some fish move further towards land, and as a result, species that have lungs move onto land and begin nesting in the water, creating amphibians.
Some amphibians evolve genes which create a more rigid shell surrounding their eggs, allowing them to move further inland to new environments. This creates reptiles.
Some reptiles evolve changes in their skulls which change their jaw structure to separate the nasal cavity and mouth, creating synapsids.
Some synapsids, after the Permian Extinction, slowly decrease their size to reduce their water and food intake. After life begins to proliferate again, they specialize as night hunters in order to avoid dinosaurs, which are their natural predators. These become mammals.
After the cretaceous extinction, mammals proliferate across Earth. Some move to Africa. Over time, these mammals respond to their arboreal habitats by using claws as hands and tails as grasping features, becoming primates.
Some grassland primates begin using upright postures in order to see predators above the grass. Those with smaller hips more suited to this new posture survive to pass on their genes, slowly moving towards Australopithecines.
Australopithicenes lose their fur and adapt to their savanna environment, with sweat glands and larger lungs and brains. These are humans.
This is a drastically over-simplified process of human evolution, and details have probably been lost in the process, but this is how the theory of evolution postulates humans came about. Not flies to bats, but fish to amphibians to reptiles to synapsids to mammals to flying mammals to bats.