Determine whether the given limits exist and find their values. Give a clear explanation.

Q: (а) lim х — 1

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Q: 2 _9 ii)lim- t-3 t2+4

A: Given query is to find the limit of the expression.

Q: Describe the laws that capture the behavior of limits?

A: There are many laws that capture the behavior of limits.

Q: Exercise 1: Number Heads Together Directions: Evaluate the limits of the following: x2 + x-6 1. lim…

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Q: Find the limits.

A: limx→7 3xx+2

Q: lim (x,y)→(4,3) √x - √y+1 x - y - 1

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Q: lim x++∞ x² + x e²x + Inx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: (1+4)* r+y xy (a) lim(æ,y)-(+0∞,+0) x2 + y? =? (b) lim(r,y)-(+o0,3) ||

A: Given: a) lim(x,y)→(∞,∞)xyx2+y2x2 b) lim(x,y)→(∞,3)1+1xx2x+y

Q: Use the information to evaluate the limits.

A:

Q: %#314 Find the limit Tim メ→3 X+3

A: To find the limit: limx→3- x+2x+3 Therefore we have to find the Left Hand Limit of x = 3.

Q: i) zn =Arg(−1 − 1) as n → ∞ ii) lim₂. →iz4-1 iii) lim,→ņi (z + 1)e²

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Q: Evaluate the limits.

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Q: 4x-5 1. lim x-3 5x+1 3x2-8x-16 2. lim x-4 2x2-9x+4

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Q: 4. Find at the point (1,1,1) if ln(xyz) = 1 əx

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Q: Find the limits. f(x) = x + 9 g(x) = x²

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Q: 1 lim x+1 4x - 12x +9 2x +x+1

A: We have to solve given problem:

Q: sin 14x lim x-0 sin 7x 3x (7x – 2) lim x+0 \7x + 3.

A: limx→0sin14xsin7xAs we know that if limx→a-f(x)=limx→a+f(x)=Llimx→0sin(14x)sin(7x)=00This is…

Q: lim x-0 2 – Vx + 4 32х lim x-00 3 - 8x

A: Consider the limits,

Q: b) lim (1 +2x)³A * x=0

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Q: sec(x) – sec(a) lim x - a

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: can you please solve the problem using only the concept of limits

A: Find the limit of the function

Q: #18 Find the limit. 2. Tim x²-2x 2こ4x+4

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Q: Find the limits as x → ∞ and as x → ∞o. (I y = (2-x)(1 + x)²(1 − x)4 lim f(x) X→∞ = lim f(x) = 8118…

A: y=(2-x) (1+x)2(1-x) 4

Q: Can you please explain and solve this using the concept of limits? Our topic right now is all about…

A: Given : find the interval on which the following function is continuous.

Q: f (x)= 4 - x lim f (x) a.

A: Given function is fx=4-x2.

Q: Find the following limits 5x³-2x²+9 (a) limx→ 4-x3 8

A: according to bartleby policy we only do first part of multiple questions B=limx→∞5x3-2x2+94-x3if we…