Ex 5.1 ,2 - Chapter 5 Class 12 Continuity and Differentiability
Last updated at Dec. 16, 2024 by Teachoo
Ex 5.1
Ex 5.1 ,1
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Chapter 5 Class 12 Continuity and Differentiability
Serial order wise
Transcript
Ex 5.1, 2 Examine the continuity of the function f (x) = 2x2 β 1 at x = 3. π(π₯) is continuous at x = 3 if limβ¬(xβ3) π(π₯) = π(3) Since, L.H.S = R.H.S Hence, f is continuous at π =3 (π₯π’π¦)β¬(π±βπ) π(π) "= " limβ¬(xβ3) " "(2π₯2β1) Putting π₯ = 3 = 2(3)2 β 1 = 2 Γ 9 β 1 = 17 π(π) = 2(3)2 β 1 = 2 Γ 9 β 1 = 18β1 = 17
