I need to simplify the function algebraically to determine the limit. I know the initial substitution of x =a yields the form 0/0. I also know the answer is 7/2, but I'm not sure how to get there. Equation: lim x->1 ((x2 + 5x - 6)/(x2 - 1))

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A: Here I am attaching image so that you understand each and every step.

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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.