Calculus homework Find limit; (1) lim x →0 Cos mx- x² COS NX (2) lim (x²-x³²x X-→-00 (3) lim (1) | (3) lim

Q: f(x + Ax) - f(x) ΔΧ f(x) = 3x² - 7x Find lim ΔΧ → 0 Step 1 Find f(x + Ax) by substituting x + Ax in…

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Q: Calculus I

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Q: (1+x)ï=1 g- lim x-0

A: The solution for the above question is as shown below.

Q: 4-x V6-5x+x f(x) = 1- find the domain 2- find lim f(x), lim f(x), lim f(x) x2 x-2 x-+2

A: givenf(x)=4-x2x2-5x+6solving x2-5x+6 by factorization method=x2-2x-3x+6=x(x-2)-3(x-2)=(x-2)(x-3)and…

Q: x〈3 x = 3 x〉3 Evaluate lim f(x), given that f(x)- 8, x--3 2x +3,

A: Given,

Q: lim f(x) X-0 4 3 -2-1

A: The limit of a function at x= a is said to exist if its left hand limit is equal to its right hand…

Q: x-2 Consider f (x) x2-x-2' a) Is f(x) defined for x = -1? For x = 0? For x = 1? For x = 2? b) What…

A: Function is not defined at x=-1 and x=2

Q: Let f(x)= 2-4 H-2 C 4x x 2 a) Does lim-2 f(x) exist? If yes, what is it? If not, explain. 321 b) Is…

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Q: Find lim f(x). lim X--6 X-6 (Type an integer value.) (-6, 2) -2, 2) -12 -6 2, -2 (- 10, -4)

A: solution:-right hand limitlimx→-6+f(x)=0 f(-6)=0

Q: x3-y² Evaluate the limit using algebraic techniques: lim (x,y) (0,0) x-y

A: We want to find given limit.

Q: (a) lim (x) X-18 9. (b) lim f(x) lim f(x) (c) X-9 (d) lim (x) DNE (e) R-9) 9. (r) lim x) DNE

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Q: 4x-1 Evaluate lim X0 8*-1

A: To Determine: evaluate the limit  Given: we have limx→04x-18x-1 Explanation: we have a limit…

Q: (b) Find lim x-0* X ex-1 (c) Find the limit lim xnx

A: b) limx-0+ 1/x - 1/(ex-1) c) limx-0+ xsinx.

Q: (b) Evaluate lim x-0 2sin x cos x 5x

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Q: 1) lim (2x² + x + 4) x--1

A: Given limit, limx→-12x2+x+4

Q: 2) Lim Lim / 9x +! オー→。 20- Xー1 Lim Vitx-l 父 ->6

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Q: calculus For (a)–(c), state the indeterminate form. Then apply l’Hospital’s rule, as applicable, to…

A: Given we have to state the indeterminate form and apply L'Hospital rule

Q: f(x) = {0.42-3.8, [0.6 f(2) = lim f(x) = z 2- lim f(x) = 2 2+ lim f(x) = x 1

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Q: Tutorial Exercise Use the given graph of the function y = f(x) to find the following quantities, if…

A: The graph of a function is given. We have to use the given graph to find the limit of the function…

Q: lim - 6)(x + 6) X- 6 lim (x + 6) = 12 1. lim %3D

A: To prove the limit: limx→6x2-36x-6=12. Evaluating the left hand side of the limit.…

Q: y = f(x) 2- 2x y=x²-1-1 R(1.2) (c) lim f(x) = xX-0 (1.1) † (a) lim_ f(x) = (b) lim f(x) = x-0…

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Q: The graph of a function y = F(x) is given below, find the limits. 5.

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