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We calculate a first simple example of a limit for beginners in calculus, or even precalculus students: the limit of (x^2 - 1)/(x - 1) as x approaches 1. We explain what limits mean using this example, and also highlight an important concept that the limit captures behaviour of a function near a point but the value of the function *at* the ...
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The limit definition of the derivative not only is where all those formulas come from, but it also shows what it is measuring (instantaneous rate of change) #calctok #apcac #apcalcab #apcalcbc #mathtok #calc #calculus #math #derivative #derivatives
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