Evaluate the following limits. If needed, enter 'INF' for o and '-INF for -0o. (a) 4+ 2x2 lim 2+ 9x I00 (b) V4+ 2x2 lim 2+ 9x I-00

Q: tan 3x lim x→0 \ e2x – 1 3/2 O 1/2 O 2 O 2/3

A: Solution:GivenTo find the limit oflimx→0 tan 3xe2x-1=?Formula:ddxeax=aeaxddx tan ax=asec2 ax

Q: Find the limit if it exists. lim V3- Vx+3 111

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Q: Use the definition of a limit to show that (i) limx→0 (x^2 + 6x + 9) = 9 (ii) limx→−7 and…

A: Authoring guidelines:…

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for 0. 18x (a) lim 5 4x 18r (b) lim…

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Q: Use l’Hospital’s rule where applicable to find the limit.

A: the given limit is: limx→08x6+3x4-9x9x7-2x4+x3 we have to evaluate the given limit.

Q: Calculate the following limits, if exist. 5x 4x3 lim x00 4x1– 6x- .2 -2.x x² - 4 lim X2 2r2 -1 1x +…

A: apply the limit after solving

Q: x2 + 8x – 9 4. lim x→1 x3 2а? — 5х + 6 - -

A:

Q: 3. Evaluate this limit. x + 4 lim x--4 4x + 16

A: given,

Q: Evaluate the following limits. If needed, enter oo for ∞ and oo for −∞. (a) limx→∞ √6+7x^2/2+2x…

A: topic - limits

Q: Q4: Find the following limits if exist:-- x-1 x2-x 1) limx-1²+2x-3 2) limx-1 x²+3-2

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Q: Evaluate the limit 7(y² – 1) - lim 3y²(y – 1)3 y→2

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Q: Find the indicated if it exists: lim x to 8;  2x2+3x+1 divided by x4 - x2

A: To find the limit if exists

Q: 2 lim,→5 – 4x + 10) 2 x* – 8x + 15

A: Given : limx→5x2-4x+10x2-8x+15

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

Q: 1 3) lim (1+ 8x) x→0+

A: Find the limit

Q: Evaluate the following limits. Use the direct substitution for solution. 5. lim +-2341 2x-1 6. lim…

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Q: Find the following limits if they exist. 1. 2 3. lim x→+0 5x – 7 8x 4x +1 lim X +2 +x + 27 lim -7 2…

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Q: Find the limit 1-ex lim x+0 10x2 – 18x

A: Here we have to use the concept of limit.

Q: Calculate the limit.

A: Calculate the limit.

Q: 3x (g) lim x +1

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Q: 2x-1 2. lim X-2 \3x+4,

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Q: Find the following limits if they exist. Must show all work (analytically?): 1. X-2 lim (x) where…

A: Given that: 1. limx→-2f(x), where f(x)=-3x2+8, if x<22x,          if x>-2   NOTE: As per our…

Q: Evaluate the following limits and verify your answer. 7(x² - ³) lim (1.9)>(0.0) /x² – y² +1-1

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Q: a) lim 3x2-10x5

A: Find the limit of 3x^2-10x^5 at - infinity

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: 1. Evaluate the following limits. 3x + 10 – 4 (a) lim 2--2- r2 – 4x + 4

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Q: Determine the following limits at infinity. 4x² + 2x + 3 lim x²

A: Consider the provided expression, limx→∞4x2+2x+3x2 Determine the limit of the expression. First, we…

Q: *.. Find the value of Limit Below x² – 10x – 25 lim x-5 x2-4x- 5 3/2 O 7/3 O 8/3 1/6 O 2/5 Google Ps…

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Q: Evaluate the following limits 2x2 – 3x + 2 1) lim x-3 2x3 - 3x + 1 z2 – 25 2) lim z--5 z+5 x² – 3x –…

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Q: 1-√3-x 4. lim. x→2 4-x²

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

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1…

Q: Use L'Hôpital's rule to find the limit. 3x - 1 lim 3 x³ + 4

A:

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for –∞. 13x -- (a) lim ェ→ T0 11…

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Q: Determine the following limits at infinity. lim 3x"

A: we have to find the limit of the function limx→∞3x11

Q: A) Find the following limits (for two only). x+1 1. limx-12-x-2 1-V 2. limx-1 1-x 2x 3. limx-0 2x2+x

A: Find the following limits.

Q: I need hep finding the limits and where they exist from x-> 1 and x-> -2

A: From the given graph, it is observed that at x = 1, the function contains an open circle, that is,…

Q: Evaluate the following limits. If needed, enter oo for o and oo for - V3 + 8x2 (a) lim 7 + 11x V3 +…

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Q: Use l’Hôpital’s rule to find the limits

A: We have to find the limits using L' Hospital's rule: limx→-5x2-25x+5 Since it is 00 form so we can…

Q: 4) lim (5x-1 + 1)4x x00

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Q: Find the following limit: 2 2 - (3 - 4 i) z-6i lim 2+-2i 2z +5iz - 2

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Q: x - 27 a) lim 4x - 3x² - x +3 b) lim x-+3 X-3 X-1 1 1 x+8-2 c) lim d) lim X2 X+2

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Q: what is the limit of x minus the square root of x, as x approaches infinity

A: Given,

Q: Find the following limits : 2*+3 1) lim x00 3x-1 2x+3 2) lim x--00 3x-1

A: A number M is said to be the limit of a function f(x) at x=a if for any arbitrarily chosen positive…

Q: ) Find the following limits if they exist. 1 lim x→0 x 1

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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…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…

Q: II- Calculer les limites suivantes: CS Scanned with Camx³x3+4x-5 0071-x II- Calculate the following…

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Q: Determine the following limit: V1+ 4x – V1– 7x lim x →0

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Q: x +1 lim а—1 х2 — 1 x-

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Q: 1. lim (3x + 4)

A: