Values Growing Onwards vs. Values Growing to Perpetuity

Good day Sir,

Is there a difference between a value growing onwards vs. a value growing to infinity?

For e.g. 4 year onwards vs. 4 years to infinity.

What implications do they have when the examiner says for instance:

that “…the annual growth rate of the company’s free cash flows is expected to be 3% for the foreseeable future…” cited from Cigno Co Dec 2015.