Given limx→3 f(x) = 5, limx→3 g(x) = −2, and limx→3 h(x)= −3, find the following limits a. limx→3 [ 3f(x) + 5h(x)] b. lim??→3 [5f(x)∙g(x)/h(x) ]  c. limx→3 sq root −3/ h(x) +10/f(x) -3g(x)

Q: Find the following limits: 3x2 + 8 (a) lim -4x² + 5 x6 – 3x4 – 2 - (b) lim x4 – 3x + 1 -x2 + 2x – 7…

A: The limits can be solved by directly inserting the limits in the function. If the function shows an…

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A:

Q: 8. Find the indicated limit 2X √x + 1] X lim(- X→∞0

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A: Part 1,Given,           limx→-1x+1x2-x-2

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

A: Given,          limx→25x4+2gx=∞

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A: We have the following information.

Q: Show that lim (x,y)→(0,0) 16x4+9y12 4x²+3y6 does not exist.

A:

Q: x³ - 8x* +1x lim xa -5-14

A: Dear student our policy is to answer first one only in case of multiple question kindly repost the…

Q: Q2 e valuat of the fallowing 2. ☺ lim L(x +3)t -16] xーース ☺ lim -25 X+5 メー5 lim |-X 3+X 9. X-3 メー] O…

A: To evaluate the given limits.

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A: limx→13x2+1gx=∞

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Q: Q4)A) Find the following limits (for two only). x+1 1. limx→-1 x2-x-2 1-Vx 2. limx→1 1-x 2х 3.…

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Q: Q3: (a) find the following limits if exist:- (1) limx-o √x+9-3 1-cosx xsinx (2) limx-07 (3) limx-1…

A: Topic = Limits

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A: Given,

Q: a. Evaluate limx→5 f(x), where f(x) = { 11x+ (2 +77) Ef x5 f(x) exists.

A: solution is given below..

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A: Solution is given below

Q: If f(x)=x2−9x−3 , what is limx→3+x2−9x−3 , limx→3−x2−9x−3, and f(3) ?   Is f(x) continuous at 3?

A: Given,              f(x) = x2 − 9x − 3

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A:

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Q: 16. If f(x) = 2x – 1, what is lim x+h h B. - С. —2 D. 2 NIN

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Q: If 3x s f(x) sx +2 for 0sxs 2, evaluate lim f(x).

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Q: If Lim [x3 – g(x)] = 12 as x tends to 3, use the Rules of Limits to find Lim g(x) as x tends to 3.…

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Q: Evaluate the given limits numerically (using table of values) and graphically 1. lim2 X-2 x-2 f(x)

A: x 1.9 1.99 1.99 1.999 2.001 2.01 2.11 f(x) 3.9 3.99 3.999 4.001 4.01 4.1 4.11     limx→2x2-4x-2…

Q: Q4)A) Find the following limits (for two only). x+1 1. limy--17-x-2 1-VE 2. limy-1 1-x 2x 3. lim--0…

A:

Q: x? + x lim x' + 2x* + x³

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

Q: Find the limit of lim((9+3x)1/2-3)/x as x approaches 0

A: To determine the value of the limit.

Q: Show that 16x4+9y12 lim (x,y)→(0,0) 4x²+3y6 does not exist.

A:

Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1x²-x-2 1-Vx 2. lim x→1 1-x 2x 3. lim…

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Q: Q2/Give a value for each of the following limits: x2 - 4x – 21 1) lim 7 3x2 - 17x – 28 (7+2x)-V5-vZ)…

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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.

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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: If lim (x approaches 6) (f(x)-4)/(x-3)= 2, how do I find lim (x approaches 6) f(x)?

A: We separate the limit first.

Q: 3. Find the following limits: x2 +5x +6 (a) lim x-3 x2 + 4x + 3 Vx2 + 5x +7 (b) lim 5 – 2x (c) lim…

A: As per our guidelines, we can not solve  more than 3 subparts so please repost  the remaining  part…

Q: Use l’Hospital's Rule to show that lim 1+ X. = e. コ

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Q: 1. If V5 - 2x² s f(x) s V5- x? for -1sxS1, find lim,-o f(x).

A: Answer and explanation is given below...

Q: if Væ² – 5x – 6 < f(x) – 1 < v6² – x² then find lim f (x) - | - x-6

A: Given:x2 - 5x -6  ≤ f(x) -1 ≤ 62 - x2To find : limx→6f(x)

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Q: Determine a reasonable estimate for lim hx x-1 3 -5 -4 -3 -1 3 5 2. 1 4. 1. 1. 2. ee

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Q: Determine the following limits at infinity. f1x2 xSo g1x2 lim if f1x2 S 100,000 and g1x2 S 00 as x S…

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Q: Q4)A) Find the following limits (for two only). x+1 1. lim X-1x2-x-2 1-Vx 2. lim X-1 1-x 3. lim x0…

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Q: Find g'(x) for g(x)=-x^2+3x+2 by using the limit definition of a derivative.  lim x-->0…

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