Ex 13.1, 29
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex 13.1, 29 Let a1, a2,….., an be fixed real numbers and define a function f(x) = (x – a1) (x – a2)…. (x – an) What is limx→a1 f(x)? For some a ≠ a1, a2…… an, compute limx→a f(x). f(x) = (x – a1) (x – a2) …….(x – an) Calculating 𝐥𝐢𝐦𝐱→𝐚1 f(x) limx→a1 f(x) = limx→a1 (x – a1) (x – a2)….. (x – an) Putting x = a1 = (a1 – a1) (a1 – a2) …..(a1 – an) = 0 × (a1 – a2) …… (a1 – an) = 0 Hence 𝐥𝐢𝐦𝐱→𝐚1 f (x) = 0 Calculating 𝐥𝐢𝐦𝐱→𝐚 f(x) limx→a f(x) = limx→a (x – a1) (x – a2) …….(x – an) Putting x = a = (a – a1) (a – a2) …… (a – an) Hence 𝐥𝐢𝐦𝐱→𝐚 f(x) = (a – a1) (a – a2) ….. (a – an)
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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 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
