Find each limit. f(x, y) = 8x² + 7y2 f(x + Ax, y) – f(x, y) (a) lim Ax → 0 Ax f(x, у + Ду) — fх, у) (b) lim Ay → 0 Ay

Q: Consider the function P(x) = (x – 2)°(x – 6) - The y-intercept is the point (0,-24) The…

A: Recall: The x intercept is the point where the line crosses the x axis .At this point y=0. The y…

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: lim (Vx² +1 – (x+ 1))

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Q: f(x) : II. Determine the limit of the function, g(x) = x² + 2, given its table of values. -3 11 -2…

A: Given :                              g(x) = x2 + 2         (1).…

Q: Find the limit

A: Given : limx→12x3-6x+5

Q: The height of a dolphin, h (in metres), with respect to time, t, in seconds is given by the equation…

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Q: Q8. Find the indicated limit: 2x +16x – 28 a) Lim = 2x +8 4x +x- 30 b) Lim x--3 x+ 3

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Q: Let f(x) = x3+x. Evaluate lim s→0 (f(x + s) − f(x))/s .

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Q: sec x lim sec(3x)

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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: Let a and b be constants in R. and If lim (f(x) - (ax + b)) = 0, what is the value of b? x→→∞0 b= =…

A: Solution to find the value of b  of this limiting problem is as follow.

Q: find f(x) and a lim [3(2+h) ³+27-14 h=0 h

A: find f(x) and a :use the formula , limit definition of derivative :

Q: Explain why you cannot use the substitution to determinate the limit lim(x->inf)(|x|/x)  Does the…

A: Substitution means we directly substitute the value of x in the function.

Q: Evaluate the limit: lim:→-6 (t², −8t, ½ ) = (00

A: we have given limit to evaluate

Q: Evalvate the limit Tet fGa) =2x²+8 fl4+h)-f(4) lim

A: Consider the given function, fx=2x2+8 to find value of fh+4 substitute x=4+h and to find value of f4…

Q: Find lim (x,y) →(7,0) 7x - 5y #49 √7x-5y-7 7x - 5y-49 by rewriting the fraction first.

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Q: lim (x,y)-(-3,4) (x³ +3x²y² - 5y³ +1)

A: Here we have given an expression with limit and we have to solve it. We have lim (x,y)→(-3,4) (x3 +…

Q: Find the range of the function f : R R,f(x) = x² – 4x + 3. Select one: a. [-1, c0) b. (-∞, 1] U [3,…

A: The objective is to find the range of the function.

Q: lim (x,y) →(0,0) 5x4 y x² + y²

A: Given information:Given function,To find:Evaluate the limit of the function.Concept used:To evaluate…

Q: Find the limits. F(x) = 2x? - 3x + 4, g(x) = Vx+ 2 (a) lim f(x) x-2 (b) 9(x) lim g(f(x)) = X-2

A: We have to find the limit

Q: Find the limits

A: We have to find the limit: limx, y→2, -31x+1y2 Just putting the value of limit limx, y→2,…

Q: Find the limit: 5x4 - 5y lim (x,y) →(4,4) x2 - у² - уг ||

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Q: Find the limit

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Q: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

Q: Let a, ßeR ,such that 2(a -1)+ 3(a – 1)+ 6a=0 and 2(1-B)+ 3(1-B)-6B + 12=0 and a + B, also graph of…

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Q: Find the limit 3x2 + 3y? lim (г,у) — (0,0) (va /2? + у2 + 4 — 2

A: To find the limit Let, L=lim(x,y)→(0,0)3x2+3y2x2+y2+4-2 Direct substitution of x and y will give 0/0…

Q: Find the value of lim f(x), if x→3+ f(x) 6x + 2 x 3 2x + 6 12 8 18 36 11

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Q: f(a + h) – f(a) 3. Find a and h such that is equal to the slope of the secant line between (3, f(3))…

A: Slope of the secant line is,

Q: xy² (x,y)-(0,0) √x² + y² lim I

A: