Compute each of the following limits. Use exact values. 24 8t| lim t→ - 3 t + 3 |- 24 – 8t| lim t - 3+ t + 3 |- 24 – 8t| lim t - 3 t + 3

Q: Find the value of the following limits: Vx +1 - lim x -1 /2x x2 – x lim v9 n2 – n – 3 n

A: To find  limx→1x+1-2xx2-x limn→∞9n2-n-3n

Q: 1 (i) lim 3n2 – 4000 のlim(- 2n2 +10000 X00

A: Topic:- calculus

Q: Which of the following limits represents f '(2) if f(x) = 2x + 3 O A. 2(2+h)´ +3-11 lim h→0 OB. (2x…

A: To check the limit representation of f’(2) of given function.

Q: Compute each of the following limits. (a) (i) lim 7x²5 x→-1 x²-25 (ii) lim X-5 x+5 (iii) lim x+2 x-2…

A:

Q: Find the limit. /h² + 10h + 11 - /11 lim h→0* h² + 10h + 11 - /11 lim h h→0*

A:

Q: 1. Determine whether or not each of the following limits exists as a real number or as +oo or -oo.…

A: According to the given information it is needed to check whether the limit of the following…

Q: Q4\ find limit of the following x² - 2 1- lim Vx-2 X2

A:

Q: 1. Determine if the following limits exist: 12 + y? (a) lim (1,y)→(0,0) eª + y² – 1 |

A: Let's find limit.

Q: Evaluate the following limits analytically, if it exists. (a) Vx+14 – 1 lim x→-10 2x (b) 5x +7x lim…

A: Given problem:-

Q: 1) Evaluate the limit in each part if it exists Vx+2 -3 a) lim x-7

A: To evaluatelimx→7x+2-3x-7

Q: Use the e-N definition of limits to show that 2n -15 lim = 1. %3D n0o 2n - 13

A: The objective to show that limn→∞2n-152n-13=1.

Q: Determine the following limits analytically.

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

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

A:

Q: Find all values of c such that the limit exists.

A: Our Aim is to find the value of c from the given expression such thatthe limit…

Q: 2. Evaluate the following limits. 1-cos2z g. lim- 4z

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: Calculate the following limits using the factorization formula x" - a" = 1x - a21x"-1 + ax"-2 +…

A: To find: limx→2x5-32x-2 Using the formula: xn-an=x-axn-1+axn-2+a2xn-3+.........+an-2x+an-1

Q: Find the limit.

A: To find the limits

Q: Prove the following. (b) lim( Vn² +1 – n ") = 0 - (c) lim Vn? n) = } 1 2 ||

A: Prove the following limits

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: find all values of c such that the limit exists

A: Given

Q: Use an appropriate definition to prove the following limits. g³ – 16x4 = 1 x + 2 9x² + 4 (а) lim…

A: We prove the given limits: limx→5+x+2x2-25=∞ limx→∞x5-16x4x5+4x2=1 limx→-∞9x2+4x+2=-3

Q: Evaluate teh following fucntions

A: Dear Students,  “Since you have asked multiple questions in a single request, we will be answering…

Q: Find the following limit. lim t-3 - 5t² – 4t – 1, t2 + 6t – 27 , 4 · 4. cos(t) > < t – 3

A:

Q: 2. Determine the following limit. 450 lim x→∞ 9+3 .1.2-0.25x+10

A:

Q: 15. Find the following limit V2x+5–1 lim x→-2 x+2

A:

Q: Find the following limits : 2x+3 2) lim x-o 3x-1

A:

Q: b): Evaluate each of the following limits: 1- cos 3x 1)lim x→0 9x2

A: Given, limx→01-cos43x9x2

Q: Q2 Find the limits of the following functions: 2-V-5 1. lim tan2r 2) lim -1 1-t-2 3) lim X0 tan4x 4)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Find the limit. 6et - 6 v1 + t - 1 | lim t-0 t 1 + t Lol +

A: To find ,limt→0 6et-6t, 1+t-1t, 51+t

Q: x² – 4x – 5 lim z-5 x2 – 25 lim (3x² – ) x-2 5x + 2

A:

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: 8. Find the following limit. t+1 a) lim < t- +o 3t2 + 2 b) lim (ti- 3j + VE k) t 2

A: The solution is given as

Q: Find each of the following limits. -3(x+2) lim x-2- x² +4x+4 -3(x+2) lim x-2+ x² +4,x+4 -3(x+2) lim…

A:

Q: Compute the following limits exactly. 5* -7x +11 (a) lim x3+3x-4 X2 X TIX (b) lim 13sin(-A)-/24x +17…

A: Consider the limits a)limx→25x−7x+11x3+3x−4b)limx→613sinπx4−24x+17

Q: Q1.[20 p.] Evaluate the following limits. x2-16 limx-4 In(1-cosx) a) b) lim ズー4 Inx

A: we have to find limits.

Q: Calculate the limit algebraically. x² – 12x +35 lim x2 - 5x →5 O -0.4 O-2 -2.4 O 10

A:

Q: Find the limit. 2 )X lim 1+ x4 O A. O О В. 1 O C. 0 O D. 2

A: We have to find

Q: Q2: Find the following limits 1-√x²+1 1. lim X-0

A: Given, limx→ 01-x2+1x2

Q: b): Evaluate each of the following limits: 1- cos* 3x 1)lim x→0 9x2

A:

Q: Evaluate the limit t3 – t lim t→1 t2 – 1

A: We have to find the given limit.

Q: Find the following limit. t2 + 1t - 6 lim - t- 2 answer = <

A: Given limits: limt→2 &lt;4t2+5t-4, t2+1t-6t-2, 2·cost&gt;

Q: 13. lim )- (2- x→2 4-x Vx+7-J7 14. lim x→2

A: (13) We have the given limit problem as, limx→22-x4-x On calculating the factors of numerator and…

Q: x²-4x-5 B. lim ズ→5 ズー5

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

Q: 1. Evaluate the following limits by applying the limit theorems (show solutions): 2. 7. x→4 V4x 1 1…

A:

Q: Evaluate the following limits: 5x +3 lim lim 3h –5 e h→0 a b x→3 x-1 lim 3x(x+4) x2 2h – h? lim d h

A: In the given question we have to find the given limits.

Q: Find the shown limit.

A: To Determine:  find the limit. Given: we have limx→511x-3x2+1 Explanation: we have a limit…

Q: h of the following limits analytically; show your work: O LIVE 9-(3-h)2 (a) limp-0 1 1 (b) limx-1…

A: Please refer the attached image for complete solution.

Q: Evaluate the following limits. 2. e* + e-*-2 a) lim b) lim (1 +2x) 3/ 3/x x2 c) lim x2 In x x-0*

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: 1. Evaluate the following limits. 3x + 10 – 4 (a) lim 1+2- 12 - 4x + 4

A: