Evaluate lim f(x) for f (x) shown here: x→1° If the limit does not exist, enter DNE. lim f(x) = x-1 -6 -4 -2 330 14 Y 12 10 8- 6 4 2- -2 A 4 X ·10 6

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: Given that f(x) = 2x² +1, find:“ f(x+h)- f(x) f(x+h)– f(x). lim h→0 h h

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Q: Answer the following True or False: If lim f(x) exists, then f(x) is a differentiable function at x…

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Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →3

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Q: If Зx <f(x) < х +2 for 0 <x< 2, find lim f(x). х—1

A: Result used:

Q: If lim H(h) = x and. lim H(h) = y , then find lim H(h3 – h) h→04 h→0-

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Q: Use the graph of the function f(x) shown below to evaluate lim f(x). x 3+ 3 2 3 O 3 O 1 O DNE 2.

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Q: Find lim x→3- x2 – 9 for o, -inf for -o, and DNE

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Q: ist . Find lim f(x) x-2+ O A. 1 OB. -2 V OC. 4 . S to .. ut .

A: Given graph:-

Q: Find the value of lim f(x), if x→4+ x 4 8х + 3 f(æ) = O 24 O 21 9. 41 37

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Q: 5t2+t sin t 5. Find lim t→∞ t2

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Q: If lim f(x) = 4, what can you say about ƒ(1)? x-1

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Q: Evaluate the limit: lim Vx – 12 x→12

A: The above question is answered below

Q: Find the limits sin (x? – 4) lim x - 2

A: Given the limit: limx→2 sinx2-4x-2

Q: Use the graph to find the indicated limits. Step 2 of 3: Find lim f(x). x-3+ -5 101 Bold 5 -5 -10 -O…

A: A graph of the function is given.The objective is to find the .

Q: Evaluate lim h→0 Answer: f(4+h)-f(4) h where f(x) = 7x + 1.

A: Topic:- application of calculus

Q: xy Let f(x, y) and let L = lim(z,4)→(0,0) f(x, y). Which of the following statements is correct? 5x2…

A: To find  L=limx,y→0,0fx,yWhere fx,y=xy5x2+4y2

Q: f(c +h) - f(c) For the function f, form the difference quotient F(h) = and then find lim F(h) for…

A: F(h)= f(c+h)-f(c)/h Find lim h-&gt;0 f(h)= lim h-&gt;0 f(c+h)-f(c)/h If we put h=0 then…

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: y=f() 3 6. Use the graph of f(x) above to find the value of the folllowing: lim f(x) =

A: At any point P limit exist if , left hand limit and right hand limit and value of function at P are…

Q: Evaluate the following limits of the function: Vx - 5 f(x) = 25 – x a. lim f(x) b. lim f(x) x-25…

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Q: (x - 3)2/3 lim r3 x2 +4x - 21

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Q: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b.…

A: To find out the limits.

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). x-00 X--00 f(x) = 4x³ – 12x + 5x?…

A: neglect lower degree of x

Q: 4. Find the limit: lim X – 2 |리-2 +0

A: We have to find given limit.