I am trying to understand the concept of limit for a single variable case. I don't understand why while defining a limit a function may not be defined at the point? For a function to be continous, why should we care about the existence of limit when we can define the function at every point on the real line?(adsbygoogle = window.adsbygoogle || []).push({});

For the multivariable case, I haven't grasped the idea of open disk in the definition? Why do these definition have open disk as constituent? Why can't close disk be included?

Help will be appreciated.

thanks

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# Definition of limit n continuity

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