Example 26 __
.
Example 27 __
.
This integral diverges.
Example 28 __
Example 29 __
.
Neither limit exists; the integral diverges.
BC ONLY
NOTE: This example demonstrates how careful one must be to notice a
discontinuity at an interior point. If it were overlooked, one might proceed as
follows: .
Since this integrand is positive except at zero, the result obtained is clearly
meaningless. Figure N7–26 shows the impossibility of this answer.