Use baby numbers to evaluate the right hand limit of a rational function

The video tutorial explores the concept of limits in calculus, focusing on direct substitution and its failure in certain cases. It then examines factoring as an alternative approach, but highlights its limitations. The tutorial proceeds to analyze the left hand limit, noting the presence of an asymptote at x=4, which leads to the graph approaching infinity or negative infinity. The right hand limit is calculated by choosing a number close to four, and sign analysis is used to determine the behavior of the limit, concluding with the result of negative infinity.

What number is chosen to evaluate the limit from the right-hand side?

What conclusion is drawn about the limit as it approaches the asymptote?