3. Define the function f(x) (a) Evaluate lim f(x) x →0+ (b) Evaluate lim f(x) x-1 = 2x n+m m x & Q m x = n on the set (0, ∞)

Q: (b) Assume that lim,6 f(r) = 9 and that lim,6 g(r) = 3. Compute lim f(r)g(r) - f (x)f(x) + g(x)g(x)

A: To Determine: The given expression:

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A: Given the graph of a piecewise function f. The objective is to find limit of the function f at…

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A: According to the question,

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A: Topic = Functions

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A: The given function is  fx=limn→∞xn2+xn

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A:

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A:

Q: x² – 9 (b) lim x→3- x + 3

A:

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A: given,

Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

A:

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A: We will find out the required solution.

Q: Let 16x-5 1x² +5 Enter the exact value of the one-sided limit lim f(x) 3-2 f(x) = if x ≤ 2 if x > 2

A:

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

Q: Find lim f(x) if x →∞ 4x - 1 X f(x) 5.

A:

Q: 11. Consider the function f(x) = x³-ax²-x+b X+1 lim f(x) exists, determine all value(s) of lim f(x).…

A:

Q: Find the value of lim f(x), if x→5+ S7x + 5 Зх + 4 f(x) = x 5 O 12 O 7 O 19 O 35 O 34

A: This question is related to limit .

Q: 1 (B). Evaluate lim (3 – x) x-2 x→2

A: Given that  lim x to 2 (3-x)^(1/(x-2))

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A:

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A:

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A: We need to sketch the graph.

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