|x + 2 x + 2 17. а. lim (x + 3) b. lim (x + 3) x→-2+ x + 2 x→-2 x + 2

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A:

Q: lim, 1 2²-7x+6 z-1

A:

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

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

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

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A: To find the limit

Q: x* +x² – 1 limx→c x²+5

A:

Q: (3x2 3x2 4. lim x00 x--1 x+1 А. 1 B. Undefined. С. 1/2 D. -00

A:

Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

A:

Q: x→0 cot3

A: we are given  limx->06x cot3x which is = limx→06x( cos3xsin3x) if we apply limit we will get…

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A:

Q: 5x' +8x² lim x→0 3x* – 16 r? 3

A: Cancel out the common factor from numerator and denominator than put the x and calculate limit.

Q: 3x - 7x x-0 2x - 15x d. lim

A: The aim of the problem is to evaluate: Concept used:Indeterminate forms often appear when dealing…

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A:

Q: lim (2x-5x) is x--2

A:

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A:

Q: -limx¬o 6x cot3x

A: Explanation of the solution is given below...

Q: 2x2+11x+5 #5) lim x3+125

A: Solve for limit

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A:

Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

A:

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: x2-9x+20 d. lim x-4 x2-3x-4 e. lim +2)2-4 X-0 3x2-x-10 f. lim- x-2 x2+5x-14

A:

Q: 2 lem -9 ズ→ス x-4

A:

Q: 2x³ – 3x³ + 7x-1 lim X-→+∞ 7x – xª + x² –3 2.x5 – 3x3 +7x6 – 1 lim 7x - x4 + x² – 3 X->-00

A: (a)     limx→∞       2x5-3x3+7x-17x5-x4+x2         we take commom x5             limx→∞…

Q: Calculate limx→∞x3+3x+52x3−6x+1.

A: We have to calculatelimx→∞x3+3x+52x3-6x+1

Q: 25+x-5 4-limx-0

A:

Q: - 2x3+ 3x-5x+1 lim 9. *-2

A: limx->-2x4-2x3+3x2-5x+1x2+4

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

Q: Зх + 5 3 lim 6х — 8

A: Given limx→∞(3x+56x-8)13