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who can teach me about limits and continuities? i want to study these things in advance .
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a limit can only exist if the limit from the right is equal to the limit from the left if the 2 values of the limits are not equal to each other, then the limit does not exist
A limit is essentially the value a function 'approaches' if you observe the behavior near a certain point. Continuous functions are those whose behavior is 'predictable' in the sense that the value at each point agrees with the behavior near said point, i.e. the function matches its own limit.
As an example, observe the following unit step function:|dw:1371611420451:dw|
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