Directions: apply the limit theorem 3 1. lim x-24 2. lim-45 x-2 62 3. lim x 2 3 4. lim x x-2 5. lim x

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Q: Using the € - d definition of limit, prove that 2x lim x 2 x + 6 1 NI

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A: We have to find limx→∞x+6x23x-5 Divide numerator and denominator by x:…

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Q: * +3 ,x1 „x>1 g(x) exists? Justify. 1+1 f(x) a) Does lim f(x) + g(x) exists? Justify. b) Does lim

A: Solve the given function

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Q: Using the formal definition of limits, show that lim (-2x + 5) =-1.

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Q: 38 38 lim 35+h 35 h-0 h 2 x+2 18 lim X- 8 X-8

A: Question 1,Given,           limh→03835+h-3835h

Q: 2. lim X-3 x-3+|x-3| |x-3| is there a limit? Explain your reason.

A: For the solution follow the next step.

Q: 2x +1 if x3 (А) -5 в) 6 23 D) -13

A: Here I am attaching image so that you understand each and every step.

Q: Evaluate 1. limit 2. limit = -3 3. limit does not exist 4. limit x+1 lim x⇒−1 x² – 3x − 4˚ 1 5.…

A: Given: limx→-1x+1x2-3x-4

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Q: x² – x – 2 | Consider f(x) = x 3 owing limits and enter vour answers below rounded to the nearest…

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Q: Jx +3 Find the limit. If it doesn't exist, explain why. lim x->9 x-9

A: limx->9x+3x-9

Q: y = f(x) 30 6. -5 -4 -3 -2 -1 3 Figure 1: The graph of y = f(x) 1) Use the graph of the function y =…

A: In the question we have to find the given limits from the graph. NOTE - As per Bartleby's guidelines…