x-4 1) lim x→4 xーxー12 x2-x-12

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…

A:

Q: А. 1. lim(7x* - x° +15x? – 11) X→-1 5x° + 6x? – 11 2. lim x--2 2x4 - 3x3 - x +16

A: Given:                                           1).limx→-1(7x4-x5+15x2-11)       To solve the given…

Q: 2 (х —1) lim 3 X 00 х+2

A:

Q: 10х?-3х+1 a) lim x→00 7x2+3x-3

A: Given: limx→∞10x2-3x+17x2+3x-3 For evaluating given limit, we take x2 common then simplify it

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

Q: O Find Lim メー→2 2- (2X 2- x X +2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Зх-7 (1) lim x--o V4x2+x-11

A: Explanation and solutions is given below....

Q: lim, →2, 1 X – 2J2x

A: The limit of the function is given limx→21x-2∫2xx2dt1+t3. To check the limit of the function ,…

Q: 2 |11x - 36x + 9| Determine lim х>3- 9х — 25х-6 9х -25х- 6

A:

Q: 2-JA+3 「メャ 2) Lm x2x-3 3) Lim (X+4)-16

A: →When limit is of the form 00 or ∞∞ , then L' Hospital rule is used. In L'Hospital rule,     take…

Q: 3x? – 17x + 20 lim 44x2 - 25x + 36 Vx+5-2 lim x+1 Vx2 + 3 - 2 lim --1 x2 - 1

A:

Q: evaluate the limit.

A: Given  it can be written as

Q: 2. 5 Lim X: CSC JZ% メラ。

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2 х* —4х lim x→4 x² – 3x -4 — Зх

A: Here we use the L.hopitital rule to evaluate the limit.

Q: Find each limit, if it exists.

A:

Q: 5x - lim X-00 Vx2+4

A:

Q: 2 --6 2. lim r-2 x2-2

A:

Q: ■ Find the limit.

A: Given limt→∞t+t22t-t2

Q: lim x---q -8x2 + 1/x2 + 1

A: To find the limit  limx→q-8x2+1x2+1

Q: 4) lim1+ 1 = ? %3D - r-

A:

Q: a. lim (3x - 5) x->-1 b.lim x² -9 xxxx²²-4x+3 2 x²-9 c.lim XX x² - 4x +3 2

A:

Q: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

Q: -7x2 + 7x + 2 14) lim x--- -16x2 - 7x +8 14) A) B) 1 D) -

A:

Q: lim x---4, x - 4/x2 - 8x + 16

A: limx→4x-4x2-8x+16

Q: |2x+4| lim x->-2+ √x+2

A:

Q: 1- x - x2 lim 2x – 3 x--00

A:

Q: 1 lim (2 x→+∞ x3 Select the correct response: |

A:

Q: VZx-V6-2 lim 4-

A: We’ll answer the 4th question since we answer only one question at a time. Please submit a new…

Q: lim エ→4 - V8 -x

A:

Q: Ifp(x)=x2-2x-3 and q(x)=x² - 1, then lim 3p(x) X +1 9(x)

A:

Q: 22-7x 18 lim r -2 x + 2

A: Consider the following limit:…

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

A:

Q: х+10 е. lim X2- x - 2

A:

Q: lim,-1 f(x) =

A:

Q: If limz→-14+71i (z² + 28z) = + iy, what is the value of x – y ?

A:

Q: бх — 2, х < 2 3. limf(x) for f (x) = x-2 %3D 13x2 -1, х 22 |

A:

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: х3 — а3 lim х--а х4 — а4 x-a

A: Given  limx→ax3-a3x4-a4   We have to evaluate the limit.

Q: *+xVア-2) lim )(4,16) x - Vy

A: Here we have lim(x,y)→(4,16)x2+xy-2yx-y

Q: 21. lim V2x-6 -3+

A: Topic  = Limits

Q: limd x²-1 = X- T2+*]

A: Given questions:           Question 1:                                     limx→1+x2-1=?…

Q: x²+6x+9 4. lim X--3 x+3

A:

Q: 9. 4. lim X-3 x2 - 9

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 1 4 lim X + 2* х-2 In(2x-3)

A:

Q: 19.) lim X+2 X+-2 X ³³+8 3 tiran

A: To find limit of the given function as x approaches to -2.

Q: 3x? – 17x + 20 lim X4 4x2 - 25x + 36 Vx +5 - 2 lim x--1 x +1 Vx2 + 3 - 2 lim X-1 x2 -

A: Topic = Limits

Q: 2+ sec (3x) (c) lim x→7/6 tan (3x) 1

A:

Q: x2+6x+9 4. lim x--3 x+3

A:

Q: f(x)= 4x^2 - 14x -8 / x^2 + 4x, if x /= -4 2x-1, if x= -4 Find lim x -&gt; -4 ^ - and  F(-4)

A: The given piecewise function is,

Q: Lim x-0 et - 10t X

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.