Final answer:
The statement is true; hair grows an infinitesimal amount every minute, culminating in noticeable growth after a month, which is a natural part of the hair growth cycle during the anagen phase.
Step-by-step explanation:
The statement that your hair grows an infinitesimal amount from one minute to the next, but after a month, you notice it, is true. During the anagen phase of the hair growth cycle, hair grows at an approximate rate of 0.3 mm per day. The infinitesimal growth from minute to minute accumulates over time, leading to a visible increase in hair length over a month.
This gradual process is a result of cellular division at the root of the hair follicle and is continuous during this growth phase. Since hair typically grows about half an inch per month, the changes in hair length are not easily noticeable on a minute-to-minute basis but become evident over longer periods such as a month.