Is In(x² – 1) - 1) 6. Evalaute lim n cos(x)-1 r lulx2-1) lem lulx²-1)

Q: Evaluate the following limits: 1-cos¹(x) (i) lim zsin(2x) (ii) lim In (√) +1 2²-1 (iii) lim sin(x) -…

A: Given :limx→01-cos4(x)sin(2x)lim x→1 lnxx2-1lim x→π4 sinx-22cosx-22lim x→01+tan(2x)1x

Q: Q.4: (A) Show that Lim t'i = 4 i t >2

A: The given symbol is the symbol of the limit of the function at the given point of limit.…

Q: Find the 2x -3 lim 4x +1 DNE O 1/2 2. What is the

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Q: Ve 3n 2n an Find lim an n

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Q: Evaluate lim 3sin4xsin2x म cos2x+1 2

A: This question can be solved by the concept of removing the indeterminate forms in limit

Q: 2 х* —4х lim x→4 x² – 3x -4 — Зх

A: Here we use the L.hopitital rule to evaluate the limit.

Q: Evaluate:lim x(cos(x)-1), * sin(x) -x O 34 O 22 44 32 Nana O O

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Q: x – 9 - a) lim 19 x² – 4x – 45 |

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Q: 3e2* -1 d) lim 2x 4e* +cos x

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Q: flx)= X+4 lim alf(x)=

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Q: Find the value of lim sec 3. 2 Select your answer. 2/3 3 3 2/3 +3 3 2/3 – 3 3. 2/3 3 3

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Q: 2) Evaluate Væ2 + 9 – 5 a) lim x -4 x+ 4 In(x +1) b) lim x 0 COS x – 1

A: Explanation of the answer is as follows

Q: a. i=4 2 i=1 b. lim X48 i +1 3 5+2-* c. lim 848 3 5 + 2x drug and

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Q: 2. Find lim (√t+3, In(2 — t), ²). t-x

A: Given: limt→∞t+3, ln2-t, 2t

Q: lim x16 x → 0 x2 – 2sinx +2x O 272 O 240 о 1

A: we will solve this using L'Hospitals rule.

Q: Find lim (√2-t, et-¹, In(t + 1)) t-0

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Q: lim X+ X+)X +3 2x-X-1

A: Given: The function is  f(x)=x3+x2+x+32x3-x-1   To determine: limx→1x3+x2+x+32x3-x-1

Q: E Q4) Evaluate cach of the following: 1- Prove lim sin3xcot5x X-0 xcot4x 2- Find dx Zx+3/ 3- Find…

A: Questiion 1,Given,            limx→0sin3xcot5xxcot4x=125To find : To prove the limit.

Q: Please

A: To find:

Q: B: prove that lim cos0 = 1 ||

A: We have to prove that

Q: Find lim (a + 2ar + 3ar² + n→∞ .. +nar"-¹) where |r|< 1.

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Q: TOC Evaluate the lim cos 3

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Q: Compute lim 240 sinx² +1-cos.T 2 I + (1+x²) ²/2²)

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Q: 5. Evaluate: lim, 0 2x- x2 sin a 1 Does not exist 2.

A: lim (2x-x2)/sinxx→0

Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

Q: Which of the following is the answer of x² - y² ·? lim (x,y) (5,5) 2x - 2y Select one: -5 O 5/2 05 O…

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Q: Q2: Evaluate: [1] 21 lim m COSXVI+ COSX – v1-x, sin-1(x) V1+x - [3] lim-o

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: E< -2 Let F (x) os (z + 2) -2< a' Cos Find lim F(z). E→-2+ lim F(z) = z→-2+

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Q: 7. Find each limit. . a) lim (2x +Vx² +5 7a. x-0 6x – cosx b) lim- x-* x+sin 3.x 7b. 2x c) lim 7c.…

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Q: Gal Evalunte the fallowing: O lim 1 +31-10 1-5

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Q: x2 2. Find lim x→0 2ª – 1

A: We want to find limit of the function.