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Find the Points of Discontinuity of F, Where F(X) = {((Sinx)/X, "," If X < 0),(X + 1, "," If X >= 0) - CBSE (Science) Class 12 - Mathematics

Question

Find the points of discontinuity of f, where

f(x) = {((sinx)/x, "," if x < 0),(x + 1, "," if x >= 0):}

Solution

The given function f is f(x) = {((sinx)/x, "," if x < 0),(x + 1, "," if x >= 0):}

It is evident that f is defined at all points of the real line.

Let c be a real number.

Case I:

Therefore, f is continuous at x = 0

From the above observations, it can be concluded that f is continuous at all points of the real line.

Thus, f has no point of discontinuity.

Is there an error in this question or solution?

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NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 5: Continuity and Differentiability
Q: 23 | Page no. 160

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Solution Find the Points of Discontinuity of F, Where F(X) = {((Sinx)/X, "," If X < 0),(X + 1, "," If X >= 0) Concept: Concept of Continuity.
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