Final answer:
The sandwich theorem is used to find the limit of sequences by bounding the sequence between two simpler sequences converging to the same limit. The central limit theorem relates to probability, not sequence limits, and explains the distribution of sample means. In chemistry, the concept of a limiting reactant is like running out of an ingredient when making sandwiches.
Step-by-step explanation:
To use the sandwich theorem (also known as the squeeze theorem) to find the limit of actual sequences, you need to find two other sequences that squeeze the sequence of interest from above and below, such that these two sequences converge to the same limit. The sandwich theorem then guarantees that the sequence of interest will also converge to this common limit. This approach is particularly useful when the sequence in question is complex but can be bounded by simpler sequences whose limits are more straightforward to calculate.
The central limit theorem is a different concept that applies to probability and statistics, describing the distribution of sample means. It asserts that, regardless of the population distribution, the distribution of the sample means will tend to be normal (or Gaussian) if the sample size is large enough. While the central limit theorem informs us about the behavior of means, it isn't directly used to find the limit of actual sequences in the mathematical sense.
In terms of chemistry and stoichiometry, using the sandwich analogy: if you have 1 slice of cheese and 2 slices of bread to make a sandwich, you follow a 2:1 ratio. Such proportion illustrates the idea of a limiting reactant in chemical reactions, where the reactant that is entirely consumed first limits the amount of product that can be formed, analogous to running out of cheese or bread when making sandwiches.