y f(x) y = g(x) (a) lim [f(x) + g(x)] x2 (b) lim [f(x) – g(x)] (c) lim [f(x)g(x)] x→-1 (d) lim fx) x-3 g(x) (e) lim [x?f(x)] (f) f(-1) + 1lim g(x) X--1

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A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Given:  limx→2  fx=1,  limx→2  gx=-2,  limx→2  hx=0 To Find:  limx→2  fx+3gx=?

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A:

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A:

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A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

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A: Find limit of function

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A:

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A:

Q: (g) lim (x- Vx +x - Vx-x (h) lim 3x²

A:

Q: e-7x - 2e3 et f (x) = e- *+16e10* + 2e-4z

A: (a) Consider the provided limit, limx→-∞e-7x-2e3x-exe-x+16e10x+2e-4x Evaluate the provided limit.…

Q: f(7 + h) – f(7) Find lim if f(x) = - 8x – 7. h h→0 f(7 + h) – f(7) lim (Simplify your answer.) h h→0

A:

Q: B: Find y + 4 lim (x1)-(24) x²y-xy + 4x² - 4x

A:

Q: (a) lim5x= x2 (b) lim5x(2x+3)= x→2 (c) lim(x* - 4x+1)=

A: As there are multiple sub parts, (a),(b) and (c) are solved here.

Q: Find lim h(x), if it exists. X- 00 f(x) = 3x2 + 2x + 9 f(x) (a) h(x) lim h(x) = X- 00 f(x) h(x) = x2…

A:

Q: the center-radius of the equationn 9x²-18 x+ 9+9y? + 12y=12 be obtained by adding both sides of the…

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Q: a (a) lim f(x) X-2 (b) lim f(x) X→2

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Q: Find lim,-2 f(x) 2 -3 -2 -1 2 3 lim→-2 f(x) = 0 %3D lim, -2 f(x) = 2 lim,-2 f(x) = 1 Does Not exist

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Q: a) Sketch the graph of the function f (x) = {2x – 3 if æ 2 then evaluate lim f(x), lim f(x) at a =…

A: Consider the given: Hello. Since your question has multiple sub-parts, we will solve first three…