Ex 5.1, 4 - Prove that f(x) = xn is continuous at x = n - Checking continuity at any point

Slide20.JPG

  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
Ask Download

Transcript

Ex 5.1, 4 Prove that the function f (x) = ﷐𝑥﷮𝑛﷯ is continuous at x = n, where n is a positive integer. Let 𝑓﷐𝑥﷯ = ﷐𝑥﷮𝑛﷯ We need to prove that 𝑓﷐𝑥﷯ = ﷐𝑥﷮𝑛﷯ is continuous at x = 4 𝑓 is continuous at x = n if ﷐lim﷮x→𝑛﷯ 𝑓﷐𝑥﷯= 𝑓﷐𝑛﷯ ∴ Thus ﷐lim﷮x→𝑛﷯ f(x) = f(n) Hence, f(x) = xn is continuous at x = n

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
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.