QUESTION 2 8x -13 X 3 Use the piecewise function f(x)=. 2x2+2x -17 x>3 to compute the limits below. (a) lim f(x) = X3- (b) lim f(x) =| x 3+ (c) limf(x) = %D X 3

Q: Find lim f(x) if I-00 4x - 1 I 5.

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

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Q: The graph below is the function f(x) 5 -4 lim f(x) x-0 -5 -4 -3 -2 -1 3 2 1 4 -2 -3 = 4- t-st 1 2 3…

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Q: f(x) If f(x) = 3x? + 4x +1 and g(x) = x² - 2x - 3, then what is lim *19(x)

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Q: The graph below is the function f(x) -5 -4 -3 -2 f(0) = 5 4 3 2 1 lim f(x) = x-0 + -2 -3 -4 --5- 2 3…

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Q: SX IF X <1 Let F(X) = (^(X-2) IF XZ1 a, Find Limx→1¹ and lim x⇒ F(x) b. does LIM X→1 f(x) exist? C,…

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Q: If lim x-4 x-2 f(x)-5 - =1, find lim f(x) X-4

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Q: 5. Find limf(x) x4-3 a) f(x) = 5x4 %3D 6x4 - 3 b) f(x) = 3x3 2x3 - 9 c) f(x) = %3D 3x5

A: We have to find limx→∞fx for a fx=x4-35x4b fx=6x4-33x3c fx=2x3-93x5 Since all above limit has ∞∞…

Q: Find the limits. (x) = 2x² – 3x + 4, g(x) = Vx + 2 (a) lim f(x) x-2 (b) lim g(x) = %3D

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Q: The graph below is the function f(x) 25 lim f(x) = x4-5 20 25 -20 -15 -10 -5 f(-5) = 15 10 5 -5 -10…

A: A graph of the function is given.The aim is to find the limit value  and the function value .

Q: M = {[a b] 1 a, b, c € 0} over the field F= R with standard addition and scalar multiplication of…

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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.