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  • Under which of the following conditions does the limit of the function shown as  <img alt="\lim _{x \rightarrow p} f(x)" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Clim%2

Under which of the following conditions does the limit of the function shown as  \lim _{x \rightarrow p} f(x)  exist?

Option: 1

\lim _{x \rightarrow p+} f(x) is defined.


Option: 2

\lim _{x \rightarrow p-} f(x) is defined.


Option: 3

\lim _{x \rightarrow p+} f(x)=\lim _{x \rightarrow p-} f(x)


Option: 4

All of the above


Answers (1)

best_answer

The limit of any function \lim _{x \rightarrow p} f(x) does exist when all the following hold well.

  1. \lim _{x \rightarrow p+} f(x)   is defined.
  2. \lim _{x \rightarrow p-} f(x) is defined
  3. \lim _{x \rightarrow p+} f(x)=\lim _{x \rightarrow p-} f(x)

 

Posted by

vishal kumar

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