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Example 1 - Check continuity of f(x) = 2x + 3 at x = 1 - Checking continuity at a given point

  1. Chapter 5 Class 12 Continuity and Differentiability
  2. Serial order wise
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Example 1 Check the continuity of the function f given by f (x) = 2x + 3 at x = 1. The function is continuous at 𝑥=1 if, ﷐lim﷮x→1﷯ 𝑓(𝑥) = 𝑓(1) Since, L.H.S = R.H.S ∴ Function is continuous.

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
  • Harishankar Kushavah's image
    Harishankar Kushavah
    Aug. 4, 2017, 1:23 p.m.

    y=tanx+secx to

    d2y/dx2 =cosx/(1-sinx)2

    View answer
  • Ahmed Raza's image
    Firstly thank you so much
    This apk and the answers helped alot 
    In this very first example i got that this is continuous but please tell me how can we get to know that any term is not continuous 
    Can u please tell me easily and quickly absorbing form.
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