# Example 10 - Chapter 5 Class 12 Continuity and Differentiability

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Example 10Discuss the continuity of the function f defined by π(π₯)={β(&π₯+2, ππ π₯β€1@&π₯β2, ππ π₯>1)β€ Given π(π₯)={β(&π₯+2, ππ π₯β€1@&π₯β2, ππ π₯>1)β€ The function is defined at All points of the Real line. Case 1 Checking continuity at x = 1 f is continuous at x = 1 if, L.H.L = R.H.L = π(1) i.e. limβ¬(xβ1^β ) π(π₯)=limβ¬(xβ1^+ ) π(π₯)=π(1)

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.