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WebThat's why, in order to get an inverse function, we need to restrict both the domain and codomain of the functions. That's why, for example, sin − 1 ( 0) = 0 and not 2 π, because the proper definiton of sin and arcsin in order for both to be inverse should be: sin: [ − π 2, π 2] → [ − 1, 1] sin − 1: [ − 1, 1] → [ − π 2, π 2] WebIf you have a continuous function, then this limit will be the same thing as the actual value of the function at that point. In fact, that is one way of defining a continuous function: A continuous function is one where. f (c) = lim x→c⁻ f (x) = lim x→c⁺ f (x) for all values of c within the domain. disney tank tops for boys
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