27.T Limits at infinity, infinite limits, asymptotes; Improper
integrals
Reference: Stewart 3.5, 1.2, 1.4, 7.9
Keywords: Limit at infinity, infinite limit,
horizontal asymptote, vertical asymptote, improper integral, unbounded
function
Learning Objectives: The student will be able to:
- State or recognize the precise definition of a limit at infinity and
the precise definition of a limit whose value is infinity
- Use these definitions to prove limit statements in simple cases
- Relate limits involving infinity to horizontal and vertical
asymptotes
- Evaluate improper integrals: integrals over infinite intervals,
and integrals with unbounded integrand
- Use the "p-test" to determine whether improper integrals converge
27.R EXAM 6