If f(x) = x² -2x, which of the following represents f'(1)? (I+h)'-2(1+ h)-1 lim h² +1-2(1+h)+1 lim a. е. h 0 h (I+h)-2+h-1 lim (1+h) -2+2h +1 b. f. lim h0 (1+h)'-2(1+h) +1 lim c. g. Does not exist (1+h)? - 2(1+h)- 1 d. h. None of the above (1) t. 2

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A: The detailed solution is as follows below:

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A:

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.