Choose the correct answer for the following limit: lim (x,y) →(0,0) O -1 0 1 625 x¹-16 y 100 x² +16 y² O Does not exist. 0 0 O None of the others.

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

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Q: Evaluate the limit lim sec 10

A: Please refer to the image below

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: xy Let f(x, y) : and let L = lim(2,y)>(0,0) f(x, y). Which of the 8x2 + 9y2 following statements is…

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Q: Find the limit for the following : Vx3 + 2 - 5 lim x-3 x - 3

A:

Q: Vy? + 2 Find the limit: 1lim y+00 5y – 6

A: given,        limy→∞y2+25y-6

Q: Find the value of lim f(r), if f(x)%3D 8r +4 3 z-3+ O 12 O 19 O 34 O 35

A:

Q: lim (x,y)(2,-3) x 2.

A: We simply put limit here.

Q: Please include your solution. Thank you

A:

Q: Find the limits 2 lim as (x – 1)2/3 a. x→0+ b. x→0 c. x→1+ с. d. x→F

A: Given function is fx=1x23+2x-123

Q: Evaluate the limit: lim Vx – 12 x→12

A: The above question is answered below

Q: Find the limits lim (Vr? + 25 – V² – 1) - X00

A: limx→∞ x2+25-x2-1Multiply by conjugates, we get =limx→∞ 26x2+25+x2-1limx→ac·fx=c·limx→afx=26·limx→∞…

Q: Find the shown limits:

A: Given: fx=x3+x2-6x-1 and gx=3 To find: limx→4fogx and limx→4gofx Solution:…

Q: 5. Evaluate the following limits: (a) lim Inr xxx (b) lim In r →1-1

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Q: Find the limits lim (Vr + x - V – x) X00

A: Given: Let y=limx→∞x2+x-x2-x To Find: To evaluate the given limit.

Q: 1. Evaluate the following limits. 4x – 7 3x2 – 2r – 5 1 c. lim I-1- |I + ¤|

A: We put the limit .

Q: Directions: Evaluate the following limits. 1. lim(In (2x – 9)) 2. lim (tan-)

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Q: Evaluate the limit: lim (4x - 6) = x → 2

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Q: x²y²y³x lim (x,y)→(0,0) |x|³ +|y|³

A:

Q: (x +h)² – x² lim h 3 (4+x)

A: See the details solution in below