#1] Let f: R²2 IR and suppose that lim fexys = 5. What can you say about the value (x,y) => (1, 3) f(1.3)) PC and

Q: 1. If f(r) = , do the following: %3D iii) What is lim

A: Given Function, f(x)=1x

Q: Q2/ a) If f) = , what are the domain of f(x) and g(x)? sin 6x lim 0 sin 9x b) Find

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Q: 4. Find (\frac {f}{g} ) if ƒ (x) = 4x° –43.x+94.x-50 and g(x) = x – 8

A: Here , (\frac{f}{g})= f(x)/g(x)

Q: Let the function f: DCR R be defined by f(x) = lim n0 2+ " (a) Evaluate lim,+-1- f(x) and lim,-1+…

A: The given function is  fx=limn→∞xn2+xn

Q: 2f(x)=x² x-1 f(x)+1 3. If lim f(x) = 2, what is the value of lim a) 0 b) 1 ? c) 2 d)

A: Given: Limit ( x-> 1) f(x) = 2  Need to find- Limit ( x-> 1) [ 2f(x) - x2 / f(x) + 1 ]

Q: I Let f: IR→IR and suppose that lim fcx, y) = 5. (x,y) (1,3) that can you say about the value…

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Q: 1 lim (x + 2)² cos x→-2 г2 — 4

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Q: 7.) The depth of water in a zoo aquarium at a certain point is modeled by the function W defined…

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Q: 2. Use the paths x = y and x = 0 to verify the limit. lim (x.y)-(0,0) x2+y²,

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Q: Show that lim (2,v)>(0,0) **+y D0.

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Q: Let h(x)

A: hx=x2,      x<23,       x=22,       x>2 Now, The left hand limit at x=2 is,…

Q: 59. Show that 0°0 is not an indeterminate form by showing that if f is a positive function and lim…

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Q: 1) The graph of a function f with domain (-5, 5) is given in the figure below. 4 3 5 -4 -3 3 4 -2 -3…

A: a) You can see that, the graph of the function f goes -2 units below the x-axis at x=-2. Thus,f-2=-2

Q: If f(x) = x² ++2 then lim 3f(x)-3f(2)-2 a) 8. b) 10 d) 12 Boş bırak

A: Given: The given function is f(x)=x2+2

Q: Use the Squeeze Theorem to show that lim x2 co X-0 cos(207TX) = 0. Illustrate by graphing the…

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Q: Find the value (1) lim (x,y)-(2-3) (3) lim (xy)-(11) √x-√√y of the following limits: x²-2xy + y²…

A: As per the instruction, post the question again for question (5). For (1),    limx, y→2,…

Q: x° +2y² +x*y lim (* ,y') → (0, 0) x* +3y - x*y

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Q: (a) Lim X–1 x +1 -2 X

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: x² - 1 if x 2 x→2* а) 4 b) – 3 с) 3 d) – 4

A: Given function is  g(x) = x2-1   if x≤2x+2    if  x >2 the function is defined in two intervals.…

Q: Evaluate the following (a 2x²-3x 3x² +4 (1): lim 242 x + 2 (2): lim 5-3 sin 2.x 10+2 tan 3.x (3):…

A: We have to evaluate: Calculation:

Q: #1 Let f: IR→IR and Suppose What can you say you say about the value (x,y) = (1,3) f(1,3)? that lim…

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Q: )Use the Sandwich Theorem to show that lim cos x-1 =0. x2 Find f'(x) for f(x) = sec(vx2 + 1).

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Q: 18. Explain why a lim √√x-3 X-73 b) lim x²-4 19.) the given x-2x²-4x+4 lim c.) fox)=√5 if x 21 22,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The equation for the line tangent to f (x) at the point (7, 11) is given by y = 12x – 9. Use f(7+h)…

A: The equation of the line tangent is given by y=12x-9 Let ''m'' be the slope of tangent.…

Q: Q3) Find: (1) lim, V1+cos 2x (2) lim-2 (x+ 2) 14-x2

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Q: x' +2y² Show that does not exist. lim (x.y)-0,0) 2x

A: Along y = x:     limx, y→0, 0x2+2y22x=limx→0x2+2x22x=limx→03x22x=limx→03x2=0