Removable discontinuity, and discontinuity points of the second kind

Gennaio 20th, 2021 | by Marcello Colozzo |
Removable discontinuity,discontinuity points of the second kind
Fig. 1

Exercise

Let us study the behavior of the following function at the extremes of the existence field.


Solution

The function is defined in


therefore x=1 is a removable discontinuity


x=0 is a discontinuity point of the second kind


for comparison between infinities. The graph is shown in fig. 1.

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