Determine the limit and exact value of each function given c. 1) f(x) = x² – 2x + 4 f(1) = lim x² – 2x + 4 = X-1 lim x? – 2x + 4 = Therefore, lim x² – 2x + 4 = X-1

Q: lim xe-x

A: We have to evaluate the limit: limx→∞xe-x Rearranging the question using exponent rule a-m=1am,…

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Q: X +5 ×ラン2x?+x メP

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Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

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Q: 3. Find lim x-2 x - √5x + 6 x-6

A: The limit is given by limx→2x-5x+6x-6 To evaluate: The value of the limit.

Q: If lim fx) -6 х+1 х— 1 – 6 10 , evaluate lim f(x).

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Q: Let f(x) = -7 –- x². Find each of the following: f(5) – f(4) (A) 5 - 4 | f(4 + h) – f(4) (B) h f(4 +…

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Q: If f(x) = 5x – 4, then f(x) – f(-3) = 5. x +3 lim I-3 Select one: O True O False

A: Answer is true.  Using L hopital rule.

Q: Given functions f(x) = Va + 11 and m(x) = a - 3, state the domains of the following functions using…

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Q: Find the domain and sketch the graph of the function x² - 4 x-2 f(x) =

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Q: f(7+h) – f(7) lim h>0 h here f(x) = 7r +4. If the limit does not exist enter DNE.

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Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

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Q: Find lim h→0 lim h0 f(3+h)-f(3) h f(3+h)-f(3) h - if f(x)=x² +8. (Simplify your answer.)

A: To find the limit limh→0f(3+h)−f(3)h for the given function f(x)=x2+8, let's substitute the function…

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.