What must be true about the growth rate in order for a growing perpetuity to have finite

Question:

What must be true about the growth rate in order for a growing to have finite value?
Perpetuity
Perpetuity refers to payments that are made without an end or maturity date. A perpetuity is classified as an annuity, which is something that earns a dividend or receives a payment at a regularly scheduled interval, generally yearly. So, how...