(a) Find the following limits: X+2 (1) Lim F+5-3 sin kr (t1) Lim k is constant

Q: The Constant Multiple Law states: For any number k, lim kf(x) exists and lim kf(x) = k lim f(x).…

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Q: x2 8 Find the limits of f(x) = as x approaches zero from the right, zero from the left, 64, and 64.…

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Q: 1. lim (x – 4)(x² + 8) x→5 2(t-10)² 2. lim t→10 t

A: Let P(x) = a0+a1x+a2x2+.....+anxn be a polynomial, where a0, a1, ...., an are real numbers and n is…

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: 2. f(x)= 4-x and g(x)= Vx+1 b. lim g (x) X-3

A: Given function is gx=x+1.

Q: (2) Use the definition of limit of a function to find lim x³-3x-2 x+2x2 - 3x+2

A: To find the limit of the function x3−3x−2x2−3x+2 as x approaches 2, it can apply the definition of…

Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →3

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Q: Please help me as fast as you can, just show the work as well and box the final answer

A: Recall squeeze theorem:  if g(x)≤f(x)≤h(x) and limx→ag(x)=limx→ah(x)=L then limx→af(x)=L

Q: y=fx) 3 2+ 2 3 45 6 a=3 lim f(x) = lim f(x) = lim f(x)

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Q: Evaluate the following limits. lim(Vx? +4x+1-x) a. lim tan (1/x) 1oitonh b. c. lim x cos x->0+ 2

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Q: 10|1 7. 10 -9/-8-7-6 -5 4 -3 -2 $6 7 89 IC -2- -6- -7- -8-

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Q: Vy? + 2 Find the limit: 1lim y+00 5y – 6

A: given,        limy→∞y2+25y-6

Q: Given: f(x) = 4– x’ and g(x) = Vx+1 c. lim f(g(x)) = x-3

A: Given:           f(x) = 4-x2 and   g(x) = x+1

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: (a)f(6)=4(b)limx→2​f(x)= Do Not Exist.(c)limx→6​f(x)=2(d)limx→2−​f(x)=1Explanation:Step 1:Step 2:…

Q: Q2: Find the limit x + 3 lim x→-3 x2 + 4x + 3

A: We have to find limit

Q: f(c +h) - f(c) For the function f, form the difference quotient F(h) = and then find lim F(h) for…

A: F(h)= f(c+h)-f(c)/h Find lim h->0 f(h)= lim h->0 f(c+h)-f(c)/h If we put h=0 then…

Q: Ex3: Evaluate the following limits. (t+2) -4_0 (1) Lim undefined form

A: It is given that

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A: We have to find

Q: Evaluate the following limits of the function: Vx - 5 f(x) = 25 – x a. lim f(x) b. lim f(x) x-25…

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Q: (x +h)² – x² lim h 3 (4+x)

A: See the details solution in below

Q: Evaluating the following limits: Vx+5-V5 a. lim x-0 2x b. lim x-2 x-2 X+1 3 c. lim 3x cot(2x)…

A: Limit of the indeterminate forms