3i - lim t-25 (t – 20)2

Q: x-1 2+3t+2 lim x-1 Vx+3 - 2 (ii). lim t--1 2-t-2

A:

Q: arctan(kx) e2x – 1 lim \k=1

A:

Q: t2+9-3 lim t-0 t2

A:

Q: lim (4x – 3y)= -11 Prove that (r.,v(-2,1)"

A:

Q: arctan(kx) e2x – 1 lim k=1

A: To evaluate, limx→0∑k=18arctankxe2x-1 Then, the above expression can be re-written as,…

Q: Va +t - Va -t lim t 0 for a > 0

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Q: (2+h)-8 lim h-0 x2-3x 5) lim X-3 x2-9

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Q: V2 +t - V2 - t lim

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Q: Find the limits

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Q: lim (3x + 1 x2 3 +00 indeterminate

A: Proceed as shown below

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: 26. lim h→0 27. lim t-0 29. 28. lim t-0 Answer √1+t-√1-t t ·2+h)² +2-¹ h (17-0²-²1) t + t 4-√√ lim…

A: Fiest simplify then apply limit

Q: lim 1. m, n > 1 is

A: We try to find the limit by substitution

Q: Lim Vn' +n

A: Explanation of the answer is as follows

Q: x-1 lim T→3 x2-4x+3

A: Topic:- Limit  Limit at X ---->3 is does not exist.

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

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Q: lim 17) P - (5, 5, 1) In (z\x2 + y²)

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Q: t2+3t+2 2. lim t--1 t2-t-2

A: To find the limit of the given function

Q: 2n lim 4k2 + 3n2 k=1 n00 tegral

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Q: Lim JX-J2 メ→ x²-4

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Q: z2-z 2. Find limz→1+i 2-2z'

A: Method 1 :-

Q: 1+t-V1-t lim

A: To evaluate: limt→01+t-1-tt   if we substitute t=0, we get 00 (indeterminate form)   Consider…

Q: 22-3r 10 d) lim z5 r2 -r - 20

A:

Q: 54. lim 2 (2-x)' 55. lim y r+1 x-1 56. lim (Vx+ +2x-V-2x

A:

Q: Lim 1-Vx X-1 1-

A: We have to find given limit.  Concept:

Q: lim (VI+z- VF),

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Q: eim 2メー5 メ4 -2 z lim Vx+4-1-x-2 メ→ メ+3 lim 2-X Z-メ 24メ

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: lim Vxe 2

A: Given query is to find limit of the expression.

Q: 3n · (2n)! br Determine lim bn 2(2n + 1)! n→∞

A:

Q: 1. lim (1+ Vw)(2 – w² + 3w*) 12 – 1 - 1 2. lim t-1 12 + 4t + 3 3 2z - 2 3. lim 2+2 - 4

A: we have to evaluate the limits. (1) limw→1(1+w3)(2-w2+3w3)(2)  limt→-1t2-1t2+4t+3(3)…

Q: 3x-7 lim zー8 Sx +1

A: limx→∞3x-75x+1

Q: a lim 6. *a Jx- Ja -x

A:

Q: Find: lim→1+i z2 –z+1-i i z2-2z+2

A:

Q: 3x²+2x+1 Q1: Using the L Hopital Rule Evaluate: lim x→0o 5x2+3x+3

A: Given: limx→∞3x2+2x+15x2+3x+3  ……1

Q: Vz - 3 lim z-3 z2- 9

A: We know,  limx→af(x)=f(a) a2-b2=(a-b)*(a+b)

Q: lim Vx2 - 5x +7 3. *2 -6x+1, lim(t1,3 4. *1

A: To evaluate: 3. limx→2x2-5x+74. limx→1-6x+183

Q: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

A:

Q: ANS: (d) |z - 3| lim 243- 12 6 - ANS: -

A:

Q: 1 3t3+ t2-1 lim t→ 2t-1 2.

A: limt→1213t3+1t2-12t-1

Q: Lim Ix-2 wr メ→2 x4

A:

Q: lim vn² +1-n

A: Given limx→∞n2+1-1

Q: (x-a) 2. lim x→a Vx-³Va

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Q: 2n2 + n (a) Using the definition (i.e. N, ), prove that lim 4n2 2 112

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Q: 6.lim 2+x-VZ

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Q: lim lx-1| х>1 1-х ?

A:

Q: 2 -z+1-i Prove that lim =1- :l+i z- 2z+2 2

A: solution is given below