Example 4 - Show f(x) = {x3+3, 1 is not continuous at x = 0 - Examples

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

Transcript

Example 4 Show that the function f given by = 3+3, 0 1, =0 is not continuous at x = 0. Given, = 3+3, 0 1, =0 We need to show that f is not continuous at =0 f is continuous at = 0 if, L.H.L = R.H.L = (0) i.e. lim x 0 = lim x 0 + = (0) But, (0) =1 3 So, lim x 0 + = lim x 0 (0) Hence, f is not continuous at =

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