Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim (f(x) + g(x)) does exist. X-0 x-0

Q: If lim f(x) = 2 and lim g(x) = 10, then lim[3f(x) - 4g(x)] = -34. 2-b x-b x-b

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Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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Q: f(x) – 7 10 , evaluate lim X→1 If lim X→1 X- 1

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Q: Find lim f(x) if, for all x > 1, x- 00 6ex - 15 < f(x) < 3ex Vx - 1 х —

A: 6ex-153ex&lt;f(x)&lt;2xx-1

Q: Sketch and label a graph of a function f(x) that has the stated properties: f(-2) = 1 and limx→-2…

A: We have to sketch and label a graph of a function f(x) that has the following stated…

Q: Show that if both lim f(x) g(x) and lim g(x) exist and f(x) g(x) 8(x) lim g(x) 0, then lim f(x)…

A: Given :           limx → c f(x)g(x) and limx → c g(x) exist             limx → c g(x) ≠ 0   To…

Q: Discuss the continuity of the function.

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Q: Prove positive function so that lim + (x)=16, then lim√(x)=4 directly from definition that it f is a…

A: Given that Let  f is a positive function so that  limx→-4f(x)=16  .

Q: Show by example that lim[f(x) +g(x)] can exist even if lim f(x) and lim g(x) do not exist.

A: Let,  f(x)=1x-c, g(x)=1c-x

Q: 2x + 1 Let f(x) Find lim f(x) %3D x - 1

A: Given functionf(x)=2x+1x-1

Q: If f(x) = (1 + 3), find lim f(x). 6x 0-x

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Q: 2x+1 Consider the function f(x) Determine lim f(x).

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Q: If 2x < g(x) < x* – x² + 2 for all x, find lim g(x). x-1

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Q: Evaluate lim x-i x - 1 1 using the appropriate change of variable.

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Q: Find a formula for a function f that satisfies the following conditions. lim f(x) = 0 lim f (x) = -0

A: Given that:

Q: Sketch a function that has the following properties: lim f(x) = 2 24-1 f(-1) = -1 lim f(x) DNE x-0…

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Q: If lim f(x) = 11 and lim g(x) = 23 then lim[2f(x)g(x) – 8] = エー5

A: Using property of limits,

Q: f(x) 80. If lim x→-2 x? 1, find f(x) b. lim x2 (x) х

A: 80. Given:

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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