#### 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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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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