Determine whether f(x) = approaches o or - as x approaches - 5 from the left and from the x² - 25 right by completing the tables below. -5.5 -5.1 -5.01 -5.001 f(x) -4.999 -4.99 -4.9 -4.5 S(x) lim f(x)= - 0, lim (x)= ∞ a. x--5- b. lim fAx)= 0∞, lim f(x)= - ∞ lim (x)= ∞, lim (x)= ∞ c. d. lim (x)= -∞, lim (x)=– ∞

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A: Explanation of the answer is as follows

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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.