a² +x – 6 + a |æ – 2| if x < 2 1. Let f(x) : 4 if r = 2 . Find the value of a and b such that lim f(x) exists. if r > 2 - 2| 2

Q: V1+x – VT– x lim ||

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Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

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: Find the constant a such that Va ax +4-2 lim

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Q: The function f is given by f(x) = 0.12 -0.52³ -3.3x² +7.72-1.99. For how many positive values of b…

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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: Use the given graph to: + + + -4, -3 -2 4 3 0 1 2 3 4 X Find lim f(x). X→

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Q: f(2 + h) – f(2) Find lim if f(x) = x + 7. h h→0 f(2 + h) – f(2) lim | (Simplify your answer.) h h→0

A: Here I am attaching image so that you understand each and every step.

Q: Stlon If f(x) = 6x³ 7x – 3, what is lim f(x)? – -

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

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Q: Find the value of lim f(r), if f(x)%3D 8r +4 3 z-3+ O 12 O 19 O 34 O 35

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Q: Consider the following graph of the function g. From the given graph of g, state the numbers at…

A: The graph of a function g is given, to find its points of discontinuity.

Q: If f(x) = 5x – 4, then f(x) – f(-3) = 5. x +3 lim I-3 Select one: O True O False

A: Answer is true.  Using L hopital rule.

Q: If 2x – 2 < f(x) < x² – 2x + 2 for x 2 0, find lim f(x). X-2

A: The objective is to find the limit.

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

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Q: Let f(x) = 2x2 +1. Evaluate f(4 + h) - f(4) lim h-0 h

A: Given, The function f(x)=2x2+1.

Q: For the function f(x) shown below, determine lim f(x). f(x) = x² - 10 -3 - 2x for for +-←æ x -4

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Q: x2 + 2x – 1 1 True or False: lim x – 9 4 O True False

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Q: f(7+h) – f(7) lim h>0 h here f(x) = 7r +4. If the limit does not exist enter DNE.

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Q: Suppose that f is a function such that lim-[f(x) - 2x²]= π. Determine, if possible, lim 118 x² +1'

A: Suppose that f is a function such that, limx→∞fx-2x2=π.  To determine, limx→∞ fxx2+1, if possible.

Q: Use the graph to determine whether each statement is true or false. lim f(x) = -2 X→-2+ 7) +++ -5 -4…

A: To find the limit of function using given graph.

Q: Evaluate lim f1x2 and lim f1x2 using the figure. xS-00 yA y 5 f(x) 210 10 23+

A: Consider the given graph as

Q: ах Determine the values of a and b such that lim Vax +b – 3 = 5. x→0 bx

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