1. Verify that lim X-0 x meets the criteria for applying L'Hôpital's rule. (²x)-1. x 2. Using L'Hôpital's rule, find lim x-0

Q: 8.Consider the graph of a function f(x). & E a) lim f(x) 5. b) lim f(x) 10 -5 10 -10 c) lim f(x) d)…

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Q: B. Continuity or Discontinuity. Write Continuity if the given is continuous and if Discontinuity. 1.…

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Q: 1. Let f(x) = 7+10. Find (A) lim f(x). (B) lim f(x). (C) lim f(x). 2²-1-2 1²-7x+10° x-5

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Q: How many times must l'hôpital's rule be applied to evaluate ex - e-X – 2x lim X + 0 X- sinx

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Q: x³ - 3x2 +4 x→22x-9x²+12x-4 Use L'Hospital's Rule to evaluate lim

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Q: Rearrange lim x* so that we can apply L'hopital's rule. *→0+

A: Follow the steps.

Q: Prove that limxc f(x) = Lis equivalent to limxc [ f(x) − L] = 0.

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Q: Find the values of the constants c and k that the function make lim f (x) and lim f(x) x-2 X-1…

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Q: Evaluate lim x > 3 (x* -2x + 1)²

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Q: L’Hôpital’s Rule is used incorrectly. Describe the error.

A: By applying the limit, we get

Q: Find the value of lim f(x) 1 f(x)3= 1+5/x -0.6 -0.5 0.16 01 E -0.6

A: To find out the correct answer.

Q: From the picture i added, can you evaluate lim f(x) x --> 1 , thank you.

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Q: If lim f(x)=-2 and lim g(x) = 2, what is the value of lim [f (x)+2g(x)]?

A: Given, limx→afx=-2  and  limx→agx=2

Q: 2) lim-(x-) ta tan x

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Q: Show directly from definition that if lim, 2- f(x) = 1 and lim, 2-g(x) 5. 4, then limx→2- f(x) ·…

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Q: lim F(x),

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Q: 3* Evaluate (a) lim sin y and (b) lim x→-I /x + 5

A: To evaluate: a) limy→π3 sin y b) limx→-1 3xx+5

Q: If lim f(x)/x^2=-2 find lim f(x) and lim f(x)/x

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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: form a piecewise function by using exponential, quadratic and linear unction. Domain for the…

A: We need to find a piecewise continuous function using exponential, quadratic, and linear functions…

Q: 3(r-4) Vx+5 x-4 3-Vx+5 To evaluate: The value of lim

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Q: 4. lim 1000 x-1000 5. lim X--2 x

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