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Which of the following graphs doesn't represent a function which is continoues from left at x= 1?

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

 

Answers (1)

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As we have learned

Continuity from Left -

The function f(x) is said to be continuous from left at x = a if 

\lim_{x\rightarrow a^{-}}\:f(x)=f(a)

-

 

In (A)\rightarrow LHL and f(1) both are diffrent LHL being 2 and f(1) being 1 

In(B)\rightarrow LHL = f(1)=2

In(C)\rightarrow LHL = f(1)=1

In(D)\rightarrow LHL = f(1)=1

 

 

 

 

 

 


Option 1)

Option 2)

Option 3)

Option 4)

Posted by

Himanshu

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