![]() Example 2.3.2A: Evaluating a Limit Using Limit Laws. Rule 3: This rule is VERY common in AP Calculus. If you are asked to find the limit of sin(x) as x approaches 1, then you simply plug in 1 and get your answer. In the formulas above, the value c is being plugged in to try and determine the limit. ![]() We now practice applying these limit laws to evaluate a limit. The first way to solve a limit is to plug in the x value into the function. for all L if n is odd and for L 0 if n is even. The expression \(\infty-\infty\) does not really mean "subtract infinity from infinity.'' Rather, it means "One quantity is subtracted from the other, but both are growing without bound. Root law for limits: lim x a nf(x) n lim x af(x) nL. Infinite limits from the left: Let (f(x)) be a function defined at all values in an open interval of the form ((b,a)). ![]() Again, keep in mind that these are the "blind'' results of evaluating a limit, and each, in and of itself, has no meaning. We define three types of infinite limits.
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