4. Find the following limits or show why they do not exist. (a) 3g2 + 4g lim g00 5g2 – 4 (b) lim v4h2 – 4h – 3+ 2h. h-0 (c) s2 – 5s lim 4s4 + 5s²

Q: Find the limits lim х2 — 1 as a. x→1+ b. x→1 c. x→-1+ d. x→-1

A: we have to find the limit    the given expression is

Q: 3e2+6 + x² – 12 lim I-3 x³ + 6x² + 9x

A:

Q: 922 + 4 Find the limit or show that it does not exist: lim V4r4 +9

A:

Q: 2) Show that the_lim. 1) xy2 lim (x,y)→(0,0) x² +y²

A:

Q: Evaluate the Polloung limits ad lim メ→ 0 Ilx³– 2x²~ 9 x 3 - 10x - 8 x3 ) lim メS-0 Ilx³- 2x²- 9 x –…

A: We havelimx→∞11x3−2x2−9x3−10x−8x3Multiply and divide by…

Q: Evaluate the following limits: x? – 4 - lim x→-2 x2 + 9x + 14 x2 – 4 lim x→-0 x2 + 9x + 14 V3x2 – 72…

A:

Q: Consider the graph of y = f(x). 4- -8 -7 -6 -5 -4 -3 -2 -1O 2 3 5 -2 For infinite limits, use 00 = 0…

A: As per our guidelines we are supposed to answer only first three parts. kindly repost others part as…

Q: 2x-3 7. lim X00 4x+10

A: Answer is 1/2.

Q: Find the limits lim(2 - 3 as 1/3 a. t→0* b. t-0

A: Given function is: ft=2-3t13 As t→0+ we get, limt→0+ft=limt→0+2-3t13=2-∞=-∞

Q: Calculate the following limits. t2 - 2t - 3 lim t43 (t-3)3 a) |x-5| b) lim x+5- x2-4x -5

A:

Q: 3. Use L'Hôpital's Rule to find the limit. 2x2-3 x2+6x-16 a. lim x- 00 5-4x2 b. lim x2 x2+x-6

A:

Q: Evaluate the fo llowing limits lim x8 + 7x + 9x-4x² +2 Xヨ-0 x4 - 4 y5 - 3x*-6x +4 2x2-8x +7 suppose…

A: 1) To evaluate:  limx→-∞x8+7x6+9x5-4x2+2x4-4x5-3x2-6x+4 Dividing numerator and denominator by x4, we…

Q: Find the limits 4 lim x-0 x²/5

A: We know that, limx→0ax=∞; a is any of positive constant

Q: Q3: A. Evaluate the limits of two of the following: V2x(x-1) 4x-x 1. limx4 2-Vx Vx2 +8-3 2-V 3.…

A: Given:(1) limx→4 4x-x22-xsolution:limx→4 4x-x22-x=limx→4 x(4-x)2-x                   =limx→4…

Q: Compute the following limits and write your answer to the boxes. lim 4x cot 3x = 5x2 - 10x - 40 lim…

A: From the given problem: a) limx→ 04xcot3x So, we can also write as: limx→ 04xcot3x=4·limx→…

Q: 6. Evaluate the following limits analytically. a. lim 1-4 3x+1 r'- 5x - 6 b. lim 1-6 x - 36 c. lim -…

A:

Q: Q3: A. Evaluate the limits of two of the following: Vx² +8-3 2- V2x(x-1) x-1| 3. lim1 4x-x 1. lim4…

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by

Q: r+ 2 Calculate the limit lim 1-2 x2 – 3x – 10°

A: By using L'hopital's rule, we find the limit of the function.

Q: Find the following limits. 1. lim E-V3 z+3 Z-3

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

Q: Find the limit. 2 lim (2x - V4x - 3x + 2) O A. - 0 В. -2 С. О 3

A:

Q: 2. Evaluate the following limits. -7r-8 (a) lim 4x +5 (b) lim 100 3r2-3.r +4 (c) lim

A:

Q: 1. Evaluate the following limit: x? -4 a. lim- 1+2x + 2x – 8 (x²-9) 2 b. lim 1+3 (x -3) (t - 3) c.…

A: If putting the value of variable value of function approaches 0/0 we should apply L hospital rule…

Q: (2) Find the limit of the following: (a) lim 47 x2 -4 (c) lim x-1 1-x (b) lim (3x+11) X-4 x2 - 2x-63…

A:

Q: Determine the limits of the following using the table of values 1. lim 3x 2. lim (x2 – 1) x→ー1 3.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 4. Find the following limits: (a) (b) 2 lim-3 x-3 - 2 4 3-x 12x - 4x² lim x3+x² - 6x +9 1

A:

Q: 1. a) Compute each of the following limits. i ii ²-25 lim X-5 x+5 lim 5x²-3x+1 x-00 4x²+2x-7

A:

Q: 4) Make a table for a sequence of carefully chosen values of a to estimate the limit 1® – 1 f(x) =…

A: By using table value of x for this given function to estimate this given limit

Q: 12) Evaluate the following limits, if they exist: -e-x+1 ) lim 5x b) lim- V8x* - 6 -* 7x -3

A: Given This limit is an indeterminant form as

Q: 2. Evaluate the following limits. x2-4x+4 a. lim x→5 x*-8x³+24x²–36x+16

A:

Q: Find the limits: Vx - 1 lim х>1 х — 1 a. 2x3 b. lim х- оо 3(х-2)2 2x3 с. lim х-2 3(х-2)2 x+1 d. lim…

A: Since there are multiple questions posted, we will answer the first question (1). If you want the…

Q: 2. Calculate the limit algebraically. x-11 lim O -1.8 03 -0.6 O 1.8

A: Given

Q: 2+x 4. lim 3x-7

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

Q: 02/Use the l'Hopital's rule to find the limits in t3-4t+15 a) lim t--3 t²-t-12 X-8x² X-00 12x²+5x b)…

A: Given problem:-

Q: 2. Find the following limits. Show your work. Vx2 + x – 1 lim (a)

A:

Q: (A) Find the following Limits. x-1 1. limx-1 T3x2 -2 – x

A:

Q: Q2: Find the following limits V-V lim x418√√x+√ 友

A:

Q: 2.) Evaluate the one-side d limitss lim Jx+7 = メラー7 lim xキ7 - メーマー7+

A:

Q: 3. Find the following limits: x2 +5x +6 (a) lim x-3 x2 + 4x + 3 Vx2 + 5x +7 (b) lim 5 – 2x (c) lim…

A: As per our guidelines, we can not solve  more than 3 subparts so please repost  the remaining  part…

Q: A) Find the following limits (for two only). x+1 1. limx-12-x-2 1-V 2. limx-1 1-x 2x 3. limx-0 2x2+x

A: Find the following limits.

Q: x2 +2x-3 lim 4. x--3 x2+7x+12

A:

Q: 2. Find the following limits. Do (a) and (b) without a calculator and (c) and (d) with a calculator…

A: We have limx→0x-4x+4=limx→0x-4limx→0x+4=0-44=-42=-2

Q: 8. Find the following limits: Vx+6-3 lim 91 x-6x? lim а) b) X-3 7+3x x+3

A:

Q: 3e*+0 + x? lim →-3 x3 + 6x2 + 9x

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

Q: x²-4x-5 B. lim ズ→5 ズー5

A: first of all factor the numerator, then apply the limits

Q: Q2 (a) Using the definition, prove the following limits. i) lim(7x – 4) = 10 ii) lim x→2 x – 4 4x…

A: As per our guidelines we are supposed to answer only one question at a time. Please ask remaining…

Q: Find the following limits. x²+3x-4 x -16 1. lim 2. lim X-1 X-1 x+2

A: Apply the limit to the given expression and if it results in 0/0 form then take the derivative of…

Q: 6. Explain why the limits lim f(x+h) – f(x) and lim f(2) – f(x) h Z-X are each initially in the form…

A: Given that the limits are limh→0fx+h-fxh and limz→xfz-fxz-x.

Q: B. Evaluate the limits of the following: 1. lim Vx2 – 4 x→2+ 2. lim Jx(5 – x) X→5- 4x 3. lim…

A:

Q: 1. lim (3x + 4)

A:

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.