Let f(x) = = lim x→7- |x - 7. Evaluate the following limits. ƒ(x) − ƒ(7) - x - 7 f(x) — ƒ(7) = lim x→7+ x - 7 Thus the function f(x) is not differentiable at 7. =

Q: If 4.x 9 <f(x) < x² - 4x + 7 for x 0, find lim f(x).

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Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: If f(x) = lim f(x) = X-4 -7 for x = 4, {2} 2x+7 for x #4 then

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Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

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Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

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Q: If 2x - 2s f(x) sx² - 2x + 2 for x 2 0, find lim f(x). x-2

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Q: 3 4x 7 lim x00 7x2+8

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Q: Consider the function defined as follows: f(x) = 7x² - 9. f(x+h)-f(x) h Find the limit of O 14x 2x+h…

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Q: The graph below is the function f(x) 5 -4 lim f(x) x-0 -5 -4 -3 -2 -1 3 2 1 4 -2 -3 = 4- t-st 1 2 3…

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Q: 3. Consider the relation f (x) = 2x² – 4. Find the f(x). Be sure to use proper notation.

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Q: The graph below is the function f(x) -5 -4 -3 -2 f(0) = 5 4 3 2 1 lim f(x) = x-0 + -2 -3 -4 --5- 2 3…

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Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

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Q: x*+x3 2. Calculate lim x→0 12x3+128

A: limx→∞x4+x312x3+128

Q: Evaluate the piecewise-defined function. f(x) = 2 if x < 0 2-X if 0≤x < 2 x + 2 if x ≥ 2 (a) (-²/-)…

A: given,  f(x)=2            if x&lt;02-x     if  0≤x≤2x+2    if x≥2