Need for limits
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Limits help us understand the behavior of a function at points even when its not explicitly defined. \
Activity
Consider the function
We want to know about the behavior of function at however is not defined since can't be operated upon. To solve this dilemma we will look at the behavior of when x is near to 0.
In a spreadsheet, plot the values of f(x) as x is the 'neighborhood' of 0. Then plot the function and mark your observations.