Determining limits analytically Determine the following limits. a. lim tS-2 2 - 5t + 6t A - 412 b. lim tS-2- t - 5 + 6t A - 42 2 - 52 + 6t c. lim tS-2 P - 5 + 6t * - 4r d. lim A - 4 2

Q: Find the limit

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Q: (x³ - 2x2 - 6+3x) 6. Evaluate lim- X-2 x- 2

A: To evaluate:                      limx→2 x3-2x2+3x-6x-2

Q: E valuate Dle followneg: lim メーフ+ 7x" – 4x? + 7x - 2 J +- 3 メ 3x° -8x"+ フメー458 -x一5 x3

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Q: Evaluate the limit V5 +3r2 lim 5 6x

A: We find limit of given function

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A: Given, Evaluate limit :limx→∞ 5x4+3x2-6x+102x4-3x-4

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A: Part 1,

Q: Evaluate the following Limit: 4x2 lim x-0V16+2x2-4 A- 10 B- 12 C- 0 D- 16

A: Please see the solution below

Q: 4

A: Detailed Solution : We have to find the limit of rational function x−4x2+x−20​ as x goes to 4.i.e.…

Q: 2. For the function g(x) = -2x² a. vertex b. axis of symmetry c. root(s) ototion

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: x* + x? 1 lim

A:

Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: Evaluate the following limits: (c) lim 2 x²+3x-10 x-2

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Q: Q2: Find the limit 12 + 3t + 2 lim t→-1 t - t - 2

A: We are asked to find limit of a function. We will use simple algebra and solve it

Q: Find the limits

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Q: C. lim x-+3* X-3

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Q: e3x – 8 lim n- r-In2" e2x - 4

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

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A: Vertical asymptote of a curve is a line such that the distance between the line and the curve…

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Q: Determine the limits of: 3N (1 + 2/3 3³

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A: Given Data: Limit,   First, multiply and divide with (sqrt(9+h))+3 in the expression of limit and…

Q: Find the limits

A: Given, limv→2v3-8v4-16 v3-8=v3-23x3-y3=x-yx2+xy+y2v3-23=v-2v2+2v+22…

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A:

Q: Evaluate the limit V5 + 7x² lim 5 + 4x I+ 00

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Q: 312+ t 17. lim .3 t-4t + 1

A: Given,limt→-∞ 3t2+tt3-4t +1Here denominator has degree 3 and numerator has degree 2.Thus,…

Q: lim 3x+9x2-4x+17 5x3-3x-14 004-2

A: limx→∞3x3+9x2-4x+175x3-3x-14

Q: Evaluate the indicated limits 3z – 5z² + 7 (i) lim 1-400 8+ 2x – 5x4 lim

A: To find: limit of the given function

Q: 4. What is the range of the function g(x) - 8-x in set notation? 10 8t D(x) 21 -2 -6t -10- а. у20 C.…

A: Here, the given function: g(x)=8-x Note that the domain is x≥8

Q: Find the limits

A: The given function is limx→22x+511-x3 The value of the limits is determined at the tending value of…