Example 8 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at April 16, 2024 by Teachoo
Examples
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Example 8 You are here
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Question 1 Deleted for CBSE Board 2024 Exams
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Transcript
Example 8 Discuss the continuity of the function f given by π (π₯)= π₯3 + π₯2 β 1.Given π(π₯)= π₯3 + π₯2 β 1. 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₯3 + π₯2 β 1) Putting π₯=π = c3 +π2 β 1 R.H.S π(π) =π3 +π2 β 1 Since, L.H.S = R.H.S β΄ Function is continuous at x = c Thus, we can write that f is continuous for x = c , where c βπ β΄ f is continuous for every real number.
