Examine the limits below and justify why they exist or not: lim f(x) = 4  and          lim f(x) = −4                      x→3−                                   x→3+   lim f(x) = -5  and          lim f(x) = -5                          x→2−                                   x→2+

Q: If 3x < f(x) < x³ + 2 for 0 < x < 2, find lim f(x). x-1

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Q: find f(x) and a lim [3(2+h) ³+27-14 h=0 h

A: find f(x) and a :use the formula , limit definition of derivative :

Q: If 3x − 5 ≤ f(x) ≤ x² − 3x + 4 for x ≥ 0, find_lim f(x). x →3

A: given  3x-5≤f(x)≤x2-3x+4for x≥0

Q: Use the graph of f(x) below to answer the following questions: 4 3 2 y y=f(x) 1 1

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Q: a. Estimate the value of lim f(x).

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

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Q: If 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: Given f(x) = 7x - 6; x < 6 x ≥ 6, 4x + 3 ; Find: lim x →6 f(x)

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Q: Suppose a function f satisfies f(3+h) – 2 lim = 7. Find an equation for the line tangent to the…

A: Let

Q: Suppose f (x) -7x -3x - 8 Evaluate: lim f (x) x→5

A: This is question of limit and continuity Here we have to find limit of function at given value…

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: If 3x − 1 ≤ f(x) ≤ x2 − 3x + 8 for x ≥ 0, find lim x→3 f(x).

A: Here we use sandwich theorem Also known as squeeze theoremThis theorem states that , if gx≤fx≤hx in…

Q: Justify your answer. f(x) Is there a function f such that lim, 1 f(x) = 0 and lim, 1 = -∞?

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Q: Calculus Question

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