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Question

Findlimx 0+sgn(x)+limx 0sgn(x), where sgn(x) represents the signum function

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Solution

sgn (x) gives the sign of x

That is If x > 0 sgn(x)=1

If x < 0 sgn(x)=1

and If x = 0 sgn(x)=0

So the graph of sgn (x) will look like

limx 0+sign(x) is the value of sign (x) as x approaches zero from right. We can see from graph that it is 1.

limx 0sign(x) is the value of sign (x) as x approaches zero from reft. We can see that the value is -1.

answer=1+(1)=0


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