The authors explain the following limit property in terms of APOS. limx → afx + limx → ag(x) =limx → a(f+g)(x) Calculus students often make mistakes in applying this as well as other properties of the limit. For example, I have seen students who have had difficulties in understanding the following property: limx → ak*fx=k* limx → af(x) What do you think is the reason of students’ difficulties with these properties?

Q: Sx² – 4 if r 3 (a) lim f(r) - (b) lim f(x) = (c) lim f(r) = 3-

A: see 2nd step

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A:

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A: Given query is to find indicated limit.

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A: Given, Graph  of the function:

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A:

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A:

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Q: 5. Calculate lim f(x), where x+1+ f(x) = = its 12.05 (c)-2 (d) 2 (e) does not exist 5A 5B if x 1 x-1…

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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.