1 lim х-2 х — 2

Q: 13 + 6х + 7 (а) lim Зх - 8 1 (b) lim 3 (т — 3)2 1 (с) lim +5 5 - х

A: As per the instructions, we will be solving only the first three subparts. For (a),     limx→∞…

Q: cos² 0 - 1 1 inet 12. lim

A:

Q: 2. O lim (-3+h)²-9 ニ

A:

Q: 4 2. lim 8 g० ४-०

A: Given,          limv→2v2-4v3-8

Q: 1— 2 — е-7 lim 2.x e sin(8x) →-

A:

Q: Find the limit.

A: To find: limx→3x+1-2x-3

Q: 2х — 1 lim |2x – 1|

A:

Q: Зх — 4 1. lim 2х+1

A:

Q: 21. lim +0.5, ±0.1, ±0.01, ±0.001, ±0.000E

A:

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: 1 — х b. lim х36 (х — 6)2

A: b) limx-6(1-x) /(x-6) 2 a) limx-5 (x-1 sqrt(3x+1))/(x-5).

Q: 2) lim (+5)a00 (-2a+1)50

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

Q: 3. +3 lim %3D

A: Given : limt→03t+3-1t

Q: 10. lim( +1-V +1-)

A:

Q: +1 (x+1]I- (x+1)2 lim 2

A: We have to find  the given limit value.

Q: 9. lim 4-h 3h-4h 10. lim h-h' Jx-3 11. lim

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: 1. lim 13m45-6m12+100m-42

A: Given limm→∞13m45-6m12+100m-42

Q: 1 3. lim 8 (t5 + 1)2

A:

Q: 24. lim (Vi-1,,1).

A:

Q: 10. lim Ve+ 2-2

A:

Q: ズ→27 7. lim v3x2 – 2x + 8 ズ→2 8. lim vx (2x) ズ→20 x+5 9. lim -15 V 2

A: Given query is to find indicated limits.

Q: 3 15. lim V3h + 1 + 1

A: Given, limh→ 033h+1+1 We have to calculate given limit as follow :

Q: lim ( = ) (-1)" n+5 O 1 O -1 O -2 O 2

A: We have to find limn→∞-1nn+5

Q: 5) 증-글(cosy)x 2

A: 5)dxdy-x2y=-12cos yx3Bernoulli equation1x3dxdy-12x2y=-12cosy--(1)let 1x2=tdifferentiating both side…

Q: 10х2-3х+1 lim x-co 7x2+3x-3

A: Given datalimx→∞10x2-3x+17x2+3x-3Divide both numerator and denominator by…

Q: lim (8n² – 7n – 500) = – In³ -

A: The rational expression 1xq can also be expressed as 1xq=x-q. We know that limx→∞ 1x=0. We also know…

Q: 2n -1 (i) lim = 2

A:

Q: S 1. lim 2 I- I - 2 1.9 1.99 1.990 2,001201 | 21. 12 2, lim 19 1.99 1.999 201 1211

A: Please see the explanation below

Q: 1.2) lim 1-/2г+1 x→0

A: Follow next step

Q: 3x +1 lim 2 - 2x +4 I-00

A: Given,          limx→-∞3x+1x2-2x+4

Q: 50. lim I +1

A: The given expression is limx→∞xx+1x. The logarithm and exponential function are inverses of each…

Q: 1 lim 1 +...+ 22 1 2n +

A:

Q: 1 1 3. lim ed - 1

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

Q: 1.1 1) lim (2) x3+8 X→-2

A: Given query is to find the limit nofnthe expression

Q: 1 lim VI - 2 I - 4 |

A:

Q: 1 1 lim 2+h__ 2 h→0 h

A: We have to just simplify this limit to get the answer.

Q: 2х — 1 lim 12х — 1| 2

A:

Q: -10 10 +1 lim z6 +1 10 4 5 3.

A:

Q: (x+Ax)3 4. lim Ax-0 Ar

A: The limit equation is lim∆x→0x+∆x3-x3∆x

Q: 2. lim (e* – 1)lnx

A:

Q: z²+ 1 lim ミ→i 24-1 i O -i O 1/2

A: To evaluate the given limit.

Q: 1. lim 目 2+1 is 2.

A:

Q: 1 3. lim ed - 1

A: We want to find given limit

Q: 1. lim re-4 u-Vu -2 2. lim

A:

Q: ( 1 4 lim x - 2 x² – 4

A: We know that  a2-b2 = (a-b) (a+b) also, (a+b) 2 = a2 + b2 + 2ab

Q: 19 lim I-3 T+3

A: It is given that, limx→-3+x3+9x+3We have to evaluate it.

Q: lim, (e² – 1)cosx COSX

A: To evaluate the given limit.

Q: n lim (5(x;) – 3(x;)*)Ax over [0, 2] i=1

A: To convert this limit of sum as definite integral over given interval.

Q: 3 lim h→0 3h + + 1

A: Here we have to evaluate limh→033h+1+1

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.