Estimating limit values

Definition

Estimating limit values involves using tables (or other methods) to determine what value a function might approach as its inputs get arbitrarily close to a certain number. It helps understand how functions behave near specific points.

Related terms

Direct Substitution Method: A method used for evaluating limits where we can simply substitute the value into the function to find the limit. Works for most simple functions.

Indeterminate Form:

Some limits cannot be determined through direct substitution or other straightforward methods, resulting in an indeterminate form such as 0/0 or ∞/∞. These require additional techniques like L'Hôpital's Rule to evaluate.

Squeeze Theorem:

A theorem used to prove or evaluate limits by "squeezing" a function between two other functions whose limits are known. It helps determine the limit of a function that is not easily calculable directly.