12. lim x² + 2x – 8 x→2 x - x - 2

Q: 42t lim t+0 4 - 1 - 1

A:

Q: 2 Compute limx→16; 1-x2 1 X-1

A:

Q: 2 9メー」 gx)= fox) =X üs I31 3メ-1 lim (fog) x メーラ

A: We have to find limit

Q: 25-и-5 e. lim u-0 vi+u-1 f. lim (3x² + 1)-2 x--00 2x? g. lim X+0o x²+1 x3+x

A: To evaluate the limit: e). limu→025-u-51+u-1 It is 00 form. We will evaluate the limit using…

Q: 1 1 1 Lim T2n2+1 + V2n2+2 + V2n²+n]

A: Given- limn→∞12n2+1+12n2+2+..........+12n2+n=12 To Prove- That the above mathematical statement.

Q: Find the limits

A:

Q: Evaluate the following limits.

A: Consider the given expression: limx→1xlnx+lnx-2x+2x2ln3x Check the form of indeterminacy:…

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

A:

Q: 4 lim z+0x5

A: topic- limits Since denominator is negative, and near to zero .Therefore limit tends to negative…

Q: XVI+T(1-V2x+3) 7-6x+4x Compute lim

A:

Q: 1 4. lim %3D x→0 x²(x + 7)

A:

Q: 1 1 t 3– 5/t2+81 4 lim 3 2/t2+Vt2-16 7 X--00

A:

Q: 3. 15. lim y- y+4

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1. lim (y – 2y+7) 2. lim (y² +5y–1) y→3 y2 3w - 4w+2 3. lim 3w – 2w+7 w² +1 | 4. lim w2 w -5 w-1

A:

Q: пу-1 lim y→0_2y² y(e2™y–1)

A: To evaluate limy→0(πy(e2πy−1)+πy−12y2) Rewrite the given expression:…

Q: lim (4+ (2? + y°) In(x² + y²)) (1,y)(0,0)

A: Given; lim(x,y)=(0,0)[4+(x2+y2)ln(x2+y2)]

Q: How to do a problem use Limits? Number 17

A: Here a function in variable x is given and we need to determine its value when x tends to . This is…

Q: lim (- %3D x2 - 2sinx + 2x O 1 42

A:

Q: 8. lim vx +6x+1-Vx² +x

A:

Q: In x lim 4!n e %3D In x -

A: Our is to evaluate the limit using L' Hopital's rule given below:-

Q: .2.4 lim (z,y)→(0,0) x² + y?

A: follow next step

Q: 2n j3 lim - 24n n00 j=1

A:

Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

Q: 2-у 4. lim y-4 y2-8y+16

A: 4. limx->42-xx2-8x+16

Q: Prove the limit doesn't exist

A: cc

Q: 3x-7 lim zー8 Sx +1

A: limx→∞3x-75x+1

Q: #1. lim t-tvt 213/2 12 +3t – 5 t→ 00 #2. lim x → - o0 x' +1 #3. lim tan1 (In x) x → 0+

A:

Q: lim 4y° + Jy18 – 1 -00

A: Given that: limy→-∞4y9+y18-1

Q: 11. lim x→ー4 x2-16 2x2+9x+4 z2-36 12. lim Z--16 Z-6

A: (a) We have the given limit problem as limx→-4x2-162x2+9x+4 On calculating the factors of numerator…

Q: (c) lim 1 In x x→0+

A: To find out the limit

Q: 1 1 t 3– 5/t2+81 4 lim 3 2/t2+Vt2-16 Z X→-00

A: The given expression of limit is:…

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: Find the linearization of y = ev7x at x = 16. (Use symbolic notation and fractions where needed.)

A:

Q: 5. lim (ex – V2x) x→0+

A:

Q: 16+y limy-o

A: The given function is 16+yy-4y. Simplify the given function as follows.…

Q: 3 a. lim うルーフ4 4- 1し 5- J3c+9 2-Jつい 5. しim うしー72 ル+2-Vt4んt4 C. Lim 2021+リ-26 ルーフ 20t ーて

A:

Q: 5. Show that lim –nx² e dx = 0.

A:

Q: 4. 21. lim 2+ Vx

A:

Q: 1. lim (x2 + 2x -3) オ→4 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x) lim (x2 + 2x - 3) D Xー→4

A:

Q: 1 lim x-0 X 1 ´dt x4 1 = ? 3x2

A:

Q: 3. Prove lim 3x-7= 2 X-3

A:

Q: The process by which we determine limits of rational functions applies equally well to ratios…

A: Note: Since you have posted multiple questions we will solve only the first question (question 23)…

Q: ni eoulav sd no 2x + 5 13. lim x→-2+\x + 1八 +x ber

A:

Q: 2 In(x) c. limx→1 1-ex-I d. limr¬0 sin(x)-x cos(2x)-1

A: We can answer both the question as below.

Q: ー4 1. lim もラー2 t+t+ 1 to

A: limt→-2t2-4t2+5t+1 Plug x =-2 in it (-2)2-4(-2)2+5(-2)+1 Simplifying we get 0/5 = 0

Q: 2. Compute lim x" (1 + x)* – e). 1/x x→0

A:

Q: 1 lim(2x + 1)zx =? X→0

A: In the given question, the concept of Limit is applied. Limit The limit formula is employed to…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.