Banana Leaf Tree

I bought a banana tree 3 gallon of Lowes, which is about 2 1 / 2 feet of good hard-core ". It has three leaves that look sort of rough diamonds, with a new spiral on. If I cut off three old leaves, the newcomers will sooner?

No, he will die of hunger .... let the leaves grow until the new unfolds completely ... then remove the bottom that ... wait for a new sheet, then remove the next you do not like,,,, nothing "makes" a plant to do anything "faster'.... they have their own good time to do what they do .... All you can do is things up if you want in too much haste ....

it wont hurt