Study Limits of Functions with Symbolic Parameters

Support for computing limits of functions involving symbolic parameters has been greatly improved. The limit behavior of functions is often completely different for different ranges of parameters. The algorithms are now able to automatically generate conditions on parameters needed for the limit computation to succeed. This allows the dependence of the limit behavior on parameters to be discovered, without any prior knowledge of parameter ranges of interest.

Investigate how the limit at infinity of depends on a positive parameter .

Compute the limit for in the complement of the generated condition.

Compute the limit for the remaining value .

Visualize the result.