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Checking continuity at any point
Checking continuity at any point
Last updated at June 2, 2023 by Teachoo
Example 5 Check the points where the constant function π (π₯) = π is continuous. Given π(π₯)=π (where π is any constant) To check continuity of π(π₯), We check itβs if it is continuous at any point x = c Let c be any real number f is continuous at π₯ =π if (π₯π’π¦)β¬(π±βπ) π(π)=π(π)L.H.S (π₯π’π¦)β¬(π±βπ) π(π) "= " limβ¬(xβπ) " " π = π R.H.S π(π) = π