Sketch the graph of a function that satisfies the conditions given below. 1(0) = 1, lim f(x) = 1, lim f(x) = lim f(x) x-2 x-2 = 00, lim f(x) = - 00, and lim f(x) = - 00 x-2 %3D x--2 Choose the correct graph below.

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A: The given function is; g(x)=-5x3+5x2+8.

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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.