Use properties of limits and algebraic methods to find the limit, if it exists. lim x→−3  x2 − 9 x + 3 Step 1 We want to use properties of limits and algebraic methods to find lim x→−3  x2 − 9 x + 3. Note that the function is a     function. The numerator and denominator are 0 at x =     , and thus we have the indeterminate form      at x =     . We can factor     from the numerator and reduce the fraction. lim x→−3  x2 − 9 x + 3 = lim x→−3         (x − 3) x + 3   = lim x→−3            =     − 3   =

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.