(b) Given that lim f(x)== 2 and lim g(x) =4 , find the limit x→2 x→2 1 lim 3f(x)- Vg(x) x→2 Using the properties of limit and write out each step.

Q: Vx+1 - 3 4. Find the limit (if it exists). lim %3D X-8

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Q: find the limit of g(x) as x approaches the indicated value. 3x2 + 1 lim = X g(x)

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Q: Find the limits: Vx – 1 lim x→1 x - 1 а.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the limit algebraically. ( f(-3 + h) – f(-3) lim h0 where f(x) = -3x2 + 2x + 9

A: Our objective is to find the limit algebraically.

Q: Vx+15 -2 is The value of the limit lim X+-11 x+11

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Q: find the limit of g(x) as x approaches the indicated value.

A: ltx→-25-x2gx=0As x tends to -2 denominator tends to 1 .    gx≠0 . gx>0

Q: Find the limit, if it exists: X lim X+- 0 x² + 1 ,2

A: We factor out x2 from inside the square root. Then |x| comes out of the square root. Note that: x/…

Q: Find the limit L.

A: We have to find the limit L: limx→4x+2 This is determinate form of the limit so we need to put limit…

Q: Determine the limit by sketching an appropriate graph. 0 sx < 2 2 sx < 4 lim f(x), where f(x) = x-2-…

A: Given that f(x)=4-x2     0≤x&lt;22               2≤x&lt;44               x=4We have to find limx→2-…

Q: Find the limit by interpreting the expression as an appropriate derivative. e2x 1 lim- = i x→0 X

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Q: Find the indicated limit if it exists. √x+4-2 a) lim X-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: Find the limit L.

A: Given, limx→2x2-3 To find the limit of above expression.

Q: Find the limit by rewriting the fraction first х-у+13x- 13/у lim Vx - Vy (х,у) -> (0,0) x+y

A: First of all break the fraction then apply limits

Q: find the limit of g(x) as x approaches the indicated value.

A: limx→13x2+1gx=∞

Q: Find the indicated limit. 2x lim (- Vx2+1 X00

A: Find the indicated limitlimx→∞(2xx2+1)

Q: Find the limit.   Lim  x→1+      x1/1-x

A: Given function is By property of logarithm

Q: Find the limit (if it exists) lim                t2+t-2/t2-1 t--&gt;1

A: First we factor numerator and denominator

Q: find the limit of g(x) as x approaches the indicated value. lim (4g(x))'/³ = 2 X0+

A: Consider the given limit as limx→0+4gx13=2

Q: find the limit of g(x) as x approaches the indicated value.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: find the limit of lim (e)* X->00

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Q: Find the limit as x approaches - 2 for the function f(x) = 12x + 1. %3D lim (12x+1) = X→-2

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Q: lim f(x) = 81 (a) VF(x) (b) [3f(x)] (c) [f{x)]²

A: Using rules of limits.

Q: Evaluate the function f(x) = x / (√x + 1 − 1) at several x-values near 0 and use the results to…

A: To evaluate: limx→0xx+1-1 using value of function at several values of x near to 0. Solution: We…

Q: What is the value of the limit below? lim v1 – x

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→3 f(x), where f(x) =…

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Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

Q: find the limit of g(x) as x approaches the indicatedvalue.

A: Given: limx→-310-x2(g(x))1/3=0 Simplify.…

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

A: We have to find limit

Q: Find the indicated limit given that lim f(x) = 2 and lim g(x) = 4. X→a lim [5f(x) – 4g(x)] Xa

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Q: V x2 + 9 - 5 lim X→-4 x + 4

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Q: x? + x lim x' + 2x* + x³

A: We have to find  limx→0 x2 + xx5 + 2x4 + x3.

Q: Find the indicated limit 2x lim(- VX +1 X>00

A: This question is related to limits, We will solve it using given information.

Q: x" -1 :? x+1Vx -1 For a positive number nEN, what is the value of the limit lim-

A: On substituting x=1 in limx→1 xn-1x-1 tends to 00 (Indeterminate) form So upon applying L-Hospital…

Q: Determine the limit at infinity. 4x -6x2 + 3x lim - -x - 2x+6 O A. 4 OB. OC. 0 D. 4.

A: Given limit is Dividing both numerator and denominator by x^3, we get

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

A: We have to find limit

Q: b) Find the limit, if it exists, or show that the limit does not exist. 3x4 - 3y4 lim (x,y) (0,0)…

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→−∞

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Q: Find the indicated limit given that lim f(x) = 5 and lim g(x) = 2. lim V3f(x) + 6g(x)

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Q: X- Find the limit. lim x-→I X-1 tto

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Q: Find the limit if it exists, or show that it does not exist. lim (7,v)>(0,0) xª + 4y²

A: According to the given information, it is required to find the limit of the given function.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 - 4x + 18, l-x2 + 4x -…

A: Detailed explanation mentioned below

Q: What is the value of the limit below? lim v1 – x x→1+

A: Given query is to find the limit of the expression.

Q: Find the limit, if it exists

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→−7  x2…

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Q: Q1 find the limit x' -1 lim x –1

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Q: Find the limit lim x3 e-x2 X→00

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Q: Find the limit. lim X→x ←+ -54 -3 -2 -1 00 O-2 f(x) 00 SIEX) 4 m 2 14 -3 2 3

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Q: X- 2 a lim " +x-6 T0 – x - 4 sin 2x b. lim c. lim x+ 6

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Q: Find the limit x-1 lim x>I* Vx +2

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Q: Find the limits. f(x) = x + 3 g(x) = x2 (a) lim f(x) X→-1

A: A limit tells us the value that a function approaches as that function's inputs get closer and…