Evaluate the limit 9 1 - cos(t) 7. | lim t→0 t – 8 i + In(t + 8)j + -k t Enter your answer in i, j, k form.

Q: For the following limits state whether it is indeterminate or determinate and evaluate it. lim t→1+…

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Q: Q.2.(a) Evaluate: t2+t-2 lime1 t2-1

A: Given: limt→1t2+t-2t2-1

Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

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Q: find lim ( Sx²+ax-Jxb% 2. Xつや

A: Solution  limx→∞Axn=0 , where A is constant and n>0

Q: 2 3 ( - 1²/1 ) ² 3 lim 3 X→∞ x

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Q: Evaluate the limit lim Y→ 2 5(y² - 1) 4y² (y - 1)³

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Q: each

A: We have to find its value according to the given information.

Q: Find the limits

A: Given: limx→-∞2x+4x2+3x-2. for finding this limit we multiply and divide with 2x-4x2+3x-2

Q: 7 - Let F(t) = cosnti" + sinntj* + 6tk* G(t)* = 2ti + t³j* %3D %3D Find a) lim[F.G*](t) t-3 b) lim[F…

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Q: lim X+ X+)X +3 2x-X-1

A: Given: The function is  f(x)=x3+x2+x+32x3-x-1   To determine: limx→1x3+x2+x+32x3-x-1

Q: P) Find T(X) X→-1 f(x) -2 A) -1 C) 0 B) Does not exist D) -2 21

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Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: y² + 5y + 6 lim ソ→2 y + 2

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Q: Compute lim 240 sinx² +1-cos.T 2 I + (1+x²) ²/2²)

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Q: Evaluate lim h→0 1 2 5 (x+h) ² 2h 1 5x²

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Q: Find the limit

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Q: As x→ 2+, x? and x2 · 4 → x2 So the lim x → 2+ 4 Therefore, the line x = is a vertical asymptote.

A: Solve the following

Q: Find the limit 3x2 + 3y? lim (г,у) — (0,0) (va /2? + у2 + 4 — 2

A: To find the limit Let, L=lim(x,y)→(0,0)3x2+3y2x2+y2+4-2 Direct substitution of x and y will give 0/0…

Q: Q/Calculate limit statement lim sinx-cost XT 4 1-4

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Q: Find Vx2 +8-3 lim X-1 x + 1

A: Limits question

Q: Find -3) 2/2 lim xxx+1,

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Q: Which of the following will make limx→c f(x) and f(c) equal? limx→2 : (x²+x-6) limx→–1 (x³ − 2x + 3)…

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