Barrons AP Calculus

Example 26 __

.

Example 27 __

.

This integral diverges.

Example 28 __

Example 29 __

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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.