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Find All Points of Discontinuity Of F, Where F Is Defined by F(X) = {(X^3 - 3, If X < = 2),(Xsqrt2 + 1, If X > 2) - CBSE (Commerce) Class 12 - Mathematics

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Question

Find all points of discontinuity of f, where f is defined by `f(x) = {(x^3 - 3, if x <= 2),(x^2 + 1, if x > 2):}`

Solution

The given function f is  `f(x) = {(x^3 - 3, if x < = 2),(x^2 + 1, if x > 2):}`

The given function f is defined at all the points of the real line.

Let c be a point on the real line.

Case I:

Therefore, f is continuous at all points x, such that x > 2

Thus, the given function f is continuous at every point on the real line.

Hence, has no point of discontinuity.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 5: Continuity and Differentiability
Q: 11 | Page no. 159
Solution Find All Points of Discontinuity Of F, Where F Is Defined by F(X) = {(X^3 - 3, If X < = 2),(Xsqrt2 + 1, If X > 2) Concept: Concept of Continuity.
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