Ex 5.8, 2 - Examine if Rolle’s theorem - Chapter 5 Class 12




Question 2 Examine if Rolleโ€™s theorem is applicable to the functions. Can you say some thing about the converse of Rolleโ€™s theorem from this function? (๐‘–) ๐‘“ (๐‘ฅ) = [๐‘ฅ] ๐‘“๐‘œ๐‘Ÿ ๐‘ฅ โˆˆ [5, 9]Greatest Integer less than equal to ๐‘ฅ ๐‘“ (๐‘ฅ) =[๐‘ฅ] is not continuous & differentiable โ‡’ Condition of Rolleโ€™s Theorem is not satisfied. Therefore, Rolleโ€™s Theorem is not applicable .

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.