2. a) Evaluate Lim- 3 10x3-8x4+2x3 b) Evaluate Lim t→-1 2 2 X 0 15x4+3x3-5x c) Evaluate Lim 2t¹+2+³+5t+5 t³+t²-71-7 5m 4+4m ³+18m m→∞ 6m 3+ 4m²-6 3. If lim[x² -f(x)] = 2, use the Rules of Limits to evaluate lim[f(x) - 2x]. x→2 x→2

Q: Determine the value of 6>0 for which lim (3x² – 1) = 47 x+ 4 A 6 = max{ – 4-16 -5, - 4 +/16+ 3 들) 3…

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Q: Vx+5-3 b) lim x→4 х-4

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: Show that lim(5x+2)=-18 x-> -4

A:

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

A:

Q: Evaluate limr→∞ -8x³+10x 7x-x2 2 8.

A:

Q: In view of part (a), explain why the equation x4 – 8x² + 16 lim lim(x - 4) X→2 x2 – 4 x→2 is…

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Q: 2x2+3x 2. limx0x3+x+1

A: To find the limit

Q: (x + у—4) dx — (х — у+2)dy %3D 0

A:

Q: Determine lim(3x - 5). x----2

A: To find: limx→2 (3x-5)

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

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…

Q: If y = vb2 + x2 and y + Ay = Vb² + (x + Ax)² , what is the lim Y ? Ax0 Ax Select the correct…

A: Given, y=√(b2+x2) Δy=√[b2+(x+Δx)2]

Q: lim(V9x² +x – 3x) Evaluate lim V9x² +x – 3x X00

A: Solve for the limit

Q: Evaluate lim,→- V4x2–3x+2 х—2

A: To evaluate limit.

Q: Evaluate, lim                            (x3+8/x+2) x-->-2

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

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Q: V5x+4-3 3) lim X-1 x-1

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Q: d) (x+27) -3 X lim-

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

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Q: Evaluate lim x→0+ x3sinx

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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: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

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: 3x 2+13x+4 p. Evaluate: lim x--2( 2x 2+5x-12

A: Topic = Limits

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: