Final answer:
In the classic story, Peter persuades Wendy to fly to Neverland by enticing her with tales of adventure and the promise of never having to grow up, as well as introducing her to the joy of flying with pixie dust.
Step-by-step explanation:
Peter persuades Wendy to leave the nursery and fly to Neverland by appealing to her sense of adventure and the promise of a magical experience. While the provided text does not directly describe Peter convincing Wendy to go to Neverland, it does offer context about how children interact with their parents and their environment which can be reflective of Peter's persuasive abilities in the classic tale. In the story, Peter typically entices Wendy by describing the wonders of Neverland, such as never having to grow up, and introduces the thrilling capability to fly, which he facilitates through the use of pixie dust provided by Tinker Bell.