x3 + x² – 2x (a) lim х — 1 4x3- x2 - 3 (b) lim x→∞ 2x3 –10x+9 1 (c) lim x2 sin( 4.x2 (d) lim x"

Q: acosx+bx sinx-5 (ii) Find the values of a and b so that lim exists and finite

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: # 3) lim (2x - 4x2 - 5x+6) X→-3

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Q: x5 – 6,000x* lim 4x5 + 20,000

A: We have limx→-∞x5-6,000x44x5+20,000 let  L=limx→-∞x5-6,000x44x5+20,000   ........... (1)

Q: lim x →∞ (bx+a)²(ax+b)² (ax²+bx+1)²

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Q: x2-4 b) lim (5p) X-2 x-2

A: We will factorise the numerator first

Q: (12 sin )( In x) (x3+5)(x-1) Evaluate limx→1

A: Here we have to evaluate the given limit .

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A:

Q: х-2 (d) lim x→3 x+3

A: Given: L=limx→3x-2x+3 For evaluating given limit, we put x=3 in given expression

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Q: 4x5+x³ -10 -? lim х-0о —7х5+x2+20 .3

A: Given: limx→∞4x5+x3-10-7x5+x2+20

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A: The answer is given below:

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Q: x-1 lim T→3 x2-4x+3

A: Topic:- Limit  Limit at X ---->3 is does not exist.

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Q: x± – 2x – 3 x⇒2 x2 – 5x + 6° - (b) lim

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Q: (i) Limx→∞5x−3 − 42x−2 + 9= (ii) Limx→∞(x − 3)2 x 22− 2x − 3=

A: (i) Consider the given limit as limx→∞5x-3-42x-2+9. Evaluate the above limit as follows:…

Q: lim Vx2 + 2x – 3 x-3-

A: It is given that, limx→-3-x2+2x-3 According to the rule of limits, the limit will exist only if…

Q: lim =√x² - 2x + 5 X→-2 lim x→2 (5(x² − 1)² – 10)

A: To find out the limits

Q: lim X→+∞ 5 In³ x 2 X²

A: Let's evaluate limit.

Q: Example 48 lim,→∞(Vx² +x – Væ² + 5) =?

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Q: 2²+3z+2 limz→-1-I-2 Answer: -1/3 (4+z)² –16 lim,→0° Answer: 8 2²+12–4 lim,→2 I-2 Answer: 1/2

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Q: (d) lim 1-x-x² x-∞ 2x³ - 3x + 1

A: In this question, we want to evaluate the limit of the given expression.

Q: x³ +9x² +20x lim X→1+ x? + x-12

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

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Q: x2 – 7x + 12 lim I-3 x - 3

A: