1) Find the limit as x approaches 2 from the left and from the right (if they exist). Does the limit exists at x = 2? [x² – x + 2, x <2 f(x) = 5, |2-x?, х>2 x=2

Q: 2) Evaluate the limit at x=1 for: x* + 7x2 – x – 2 f(x) x² – 5x + 4

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Q: If f(2) = 7, what can be said about the limit of f(x) as x approaches 2?

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Q: (2x+1 x² +2 x> h) Xsh Q3) If the function f(x) %3D having limit at x h. Find the value of h.

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Q: Let f(x) = 5 and g(x) = 3x + 1. Use the definition above to verify the following limits:

A: We have to verify the result: a  limx→7 fx=5b  limx→4 gx=13 Where function is given that: fx=5,…

Q: 2x x - 3. a) Find the domain of the function: [-3, ∞0) (-∞0, 3] (-∞, 3) U (3, 0) (0, -3) U (-3,0) 2.…

A: According to bartleby guidelines we supposed to do the first subparts of multiple subparts kindly…

Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: Find the limits of the Function 2 (x + h)² – x² lim h→0 h

A: We can solve this using the L'Hospital rule. And also from expanding equation we can solve easily.

Q: 8. Let g(x)=5/(x-4). Find the domain of g(x). *

A: Given:- g(x)=5/(x-4)  To find:- Domain of g(x)

Q: 6. a) State why the limit of f(x) = √5x - 1 does not exist for x

A: Please refer to the image below

Q: (- 5x +7 if a 3 Let f(x) = Find lim f(x) , if it exists. O-8 O DNE О- 25 09

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Q: Find the range of the function f(x) = x2-1 O [-2,21 R\[-1] R\{0}

A: Range of function

Q: x² sin +y f : R² → R, ƒ (x, y) = %3D x + y

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Q: The limit of f(x) = sqrt x as x approaches 9 is Infinity 3

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Q: 1. Use the limit formula, and showing all work, find f'(x) for f(x) = -3x³ + 2x -1.

A: To find the differentiation of given function.

Q: x if x < 0 F(x)=sin(x) if 0 < x≤ 3 1 if 2 < x lim_ f(x) =? lim f(x) =? lim f(x) =? x-1- lim f(x) =?…

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Q: Find the limit of f(x) as x approaches 2, where

A: fx=1,  x≠20,  x=2

Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is…

Q: ind the limit as x approaches two of (2x + x – 10)/(2 – x)

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Q: (b) State the range of f for the domain given in part (a). f:A B f(x)=(x-1)²+4. (c) Define the set B…

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Q: Q3\ a) Find the values of a and b to make the functions continuous at every x: ax + 2b 2) g(x) = }x²…

A: Given function is,  f(x)=-2        ;x≤-1ax-b   ;-1≤x≤13          ;x&gt;1

Q: Find the domain of (fof)(x) if f(x)= 2 x+2

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Q: Let f :[-2,6] R be the function given by * if - 2sx<0 if 0sx< 2 4 -x if 2 sxs6. f(x) = 2.x For each…

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Q: – 4x + 8 if x 2 Find lim f(x) , if it exists. I2 O-5 O DNE 05

A: Function given is -        f(x)=-4x+8if x≤2-5x+5if x&gt;2 We need to find limx→2f(x) if ity exists.…

Q: f(x)=X÷2x if x 23 3x ifx<3

A: