Continuity of rational functions | Cont. and diff. | Grade 12 | Math | Khan Academy
Автор: Khan Academy India - English
Загружено: 2025-03-04
Просмотров: 798
Описание:
In this video, we'll discuss continuity of two rational functions. Before we solve problems, we'll refresh the definition of rational functions. For the first function, we find the limits at x = 0 and x = 5 for 1 by (x-5). For the second function, we find the limits at x = -5 for (x^2 - 25) by (x + 5). In both of these problems, we're looking at points where the function is not defined.
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Timestamps:
00:00 Refresher on the definition of rational numbers
01:15 Problem 1 - Discuss continuity of 1 by (x-5)
02:21 Testing continuity at x = 0
03:03 Testing continuity at x = 5
04:41 Problem 2 - Discuss continuity of (x^2 - 25) by (x + 5)
05:10 Finding the limits at x = - 5
07:00 Making sense of the limits from both sides
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Created by Ashish Gupta
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