EVALUATE: A. Find the limit 5. lim (x3 + 8) x--2 6. lim (x3 — 2xх? + 3х — 1) x--1 x² – 5 7. lim x-5 2x3+6 3 8x+1 3 x2-3x + 4 8. lim 4. lim x-1 V r+3 2x2-x-1 x→1

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: Find the limit, if it exists.

A: limx→-∞x4-1x3-1=-limx→-∞x4-11-x3 We have limx→-∞x4-1=∞limx→-∞ 1-x3=∞ So by  L'Hospital's Rule, we…

Q: Use l'Hôpital's Rule to evaluate the limit. .3 8x +7 2, lim X- 1 X1 O A. 11 O B. 19 C. O C. - 16 D.…

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Q: Vx+15 -2 is The value of the limit lim X+-11 x+11

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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: 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

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Q: Find lim x^2 − 3x + 2/x^3 − 2x^2 as (a) x → 0+ (b) x → 2+ (c) x → 2−

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Evaluate the limit. lim I->0 V1+ 7x -1

A: Using limit,

Q: Find the limits x2 - 3x + 2 lim x - 4x as a. x→2+ b. x→-2+ c. x→0 d. x→ 1* e. What, if anything, can…

A: We are entitled to answer three sub-parts. Please resubmit the question which you wish to get…

Q: Find the limit, if it exists. 1) lim (x2 + 8x - 2) X→1

A: =?

Q: ex ) 4. Use the definition of the limit to prove that lim 4x + 2 = 14. %3D x-3

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Q: Find the limit or show that it does not exist. V1+4x (1) lim x-o 2-x3 (2) lim (V9x2 – 5x+3x

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Q: Find the limit, if it exists

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Q: Find the limit (if it exists) lim                t2+t-2/t2-1 t-->1

A: First we factor numerator and denominator

Q: Determine the following limits analytically.

A: Given limx→3x2-9x2+42x2-3x-9 By using  a2-b2=(a-b)(a+b)

Q: Q3: (a) find the following limits if exist:- (1) limx-o √x+9-3 1-cosx xsinx (2) limx-07 (3) limx-1…

A: Topic = Limits

Q: Find the limit: o-4t 6. lim t→0 4 – 13' 17 + t to

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Q: Evaluate the limit x2 – 2x – 15 lim I - 5 Enter I for oo, -I for-oo, and DNE if the limit does not…

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Q: lim x² +3

A: Explained below

Q: Use l’Hôpital’s rule to find the limits

A: It is given that, limt→-3t3-4t+15t2-t-12.

Q: Use your answer to the previous question to calculate the limit and write your answer upload. In(x)…

A: The given limit is limx→1ln (x)-x+1(x-1)2 We have to find the first four terms of the Taylor series…

Q: 2x-1 2. lim X-2 \3x+4,

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Q: V x2 + 9 - 5 lim X→-4 x + 4

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Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1x²-x-2 1-Vx 2. lim x→1 1-x 2x 3. lim…

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Q: Find the limit (If It exists). (If an answer does not exist, enter DNE.) (x² - 4x +18, -x² + 4x -…

A: Put the condition for existence of a limit and cross check.

Q: Evaluate the following limits if they exist x +5x-3 a) lim x² + 2x – 6 x² – 3x – 1 b) lim x' +1 c)…

A: In the question we have to calculate the limit of the following functions given.

Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If…

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Q: Determine the limit at infinity. 4x -6x2 + 3x lim - -x - 2x+6 O A. 4 OB. OC. 0 D. 4.

A: Given limit is Dividing both numerator and denominator by x^3, we get

Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3.…

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1…

Q: Can i get help with this problem step by step

A: Recall the following facts.

Q: Evaluate the limit. lim I-+0 V1+ 9x – 1

A: To evaluate:  limx→0x1+9x-1 if we substitute x=0 in the limit we get x1+9x-1=01+0-1=00    undefined…

Q: Find the limit. lim (x,y) → (1,−4) 3x²y 2 1+xy²

A: I am attaching image so that you understand each and every step.

Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y¹ x² - y²

A: The given limit is: limx,y→3,34x4-4y4x2-y2  To find the value of the limit.

Q: Evaluate the following limits and give the equation for any horizontal asymptote (if there are none,…

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Q: Find the limit, if it exists: 3x2 + 4y lim (xy)-(0,0) x2 + y²

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim 3xe-8x…

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Q: T is discontinuous at -1 because lim f(x) as x--> -1 does not exist. * %23 .7. 5. %23

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Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

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Q: (b) Find the following limit: 4x +5 lim x+2 2x -1 (i) (ii) lim 4 x+* x* -x' +2

A: The solution is given as

Q: Calculate the limit value: x² – x – 6 lim x--2 x + 2 Select one: O a. 00 b. 0 O C.-5 d. -3

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Q: Q4)A) Find the following limits (for two only). x+1 1. lim X-1x2-x-2 1-Vx 2. lim X-1 1-x 3. lim x0…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…

Q: Find the limit. 7) lim x-5' x - 25 A)1 B) 0 C) -

A: We can solve this problem using the concept of limit.

Q: # 11. The lim,→-4 x²+ cx+c+5 x² + 5x+4 exists. What is the value of “c“? What is the value of the…

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Q: Find the limit x-1 lim x>I* Vx +2

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Q: Determine the values of the following limits. lim 2a? 2x + 4 lim %3D む+1 lim I -1 x -1

A: To find the value of the following limits.

Q: Use the definition to show that x² - y² lim (x,y) →(0,0) x² - y² 0.

A: