Final answer:
The value(s) of Δ to prove a limit depend on the specific problem and context. Δ represents a change in a quantity. Choose appropriate values based on the problem and expression.
Step-by-step explanation:
The value(s) of Δ that are an appropriate choice when proving the limit depend on the specific problem and the context in which the limit is being evaluated. Δ is typically used to represent a change in a certain quantity, or a final value minus an initial value.
For example, if you are trying to prove a limit involving a difference quotient, you could choose values of Δ that approach 0 to evaluate the limit. This represents the concept of taking smaller and smaller changes in the independent variable to determine the rate of change of the function.
It is important to carefully consider the problem and the specific expression being evaluated in order to choose appropriate values for Δ to prove the limit.