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Question Number 158760 by mathlove last updated on 08/Nov/21

$$f\left(x\right)=[sgn(x^2-1)+sgn\left(\sin \pi x\right)]$$$$faind\underset{x\to 1}{\lim }f\left(x\right)=?$$

Commented by mathlove last updated on 08/Nov/21

$$misterWsnswertheQ$$$$andAjfur$$

Commented by mathlove last updated on 08/Nov/21

$$ajfuor$$

Answered by mr W last updated on 08/Nov/21

$$f\left(1\right)=[0+0]=0$$$$\underset{x\to 1^{-}}{\lim }f\left(x\right)=[-1+1]=0$$$$\underset{x\to 1^{+}}{\lim }f\left(x\right)=[1-1]=0$$$$\Rightarrow \underset{x\to 1}{\lim }f\left(x\right)=0$$

Commented by mathlove last updated on 09/Nov/21

$$thankssir$$

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