Lesson: Unbounded Limits Mathematics • Higher Education

Students will be able to

• understand that the limit of can be said to “equal” positive or negative infinity as approaches some finite value,
• understand that the one-sided limits of may not be “equal” to each other in cases of unbounded limits:
  • one of the one-sided limits may be “equal” to positive or negative infinity,
  • both of the one-sided limits may be “equal” to infinity (and they may agree on the sign, positive or negative),
  • both of the one-sided limits may be “equal” to infinity (and they may disagree on the sign, positive and negative),
• understand that equating a limit to positive or negative infinity is a particular way of expressing that the limit does not exists, but it still provides useful information,
• conceptually relate unbounded limits to vertical asymptotes,
• find values of that cause the limit of the function to “equal” positive or negative infinity.