Find limx0x2sin(pi/x).

Q: Find lim Itcos 2X メ 니(x- 폰) 2

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Q: lim (1,1) J-

A: Hence,lim(x,y)→(4,4)x3-yy3-x=1

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

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Q: Find limx->∞,if for all x>5

A: We apply limx->∞ on all sides.

Q: b. Find lim (xv (xVx²+1-x²)

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Q: Calculate limx→∞(√x2+1−√x2−1).

A: The limit of any function at any point x=a is the value which the function has tendency to acquire…

Q: Evaluate limx-->2 (sin(x-2))/(x^2+4x-12) Without L'Hospital's rule.

A: limx-->2 (sin(x-2))/(x^2+4x-12)Numerator = sin(x-2)Denominator = x2 + 4x - 12 = x2 +6x - 2x - 12…

Q: Evaluate. lim (tan 2x)* x→0-

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Q: Find the following: x/3 + 9x/5 i. Lim X 06x1/2- 4x1/4

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Q: L'Hospital limx->0 (5sinx/62x)1/x

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Q: x2 - 5x limx¬0 х3 +х-2

A: Given: limx→∞x2−5xx3+x−2

Q: find Lim frxe). Let fcx) = |x) %3D

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish…

Q: Find lim [x csc(x)] as x approaches zero.

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Q: Q: find lim \-c०s2 2->০

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Q: sinx- lim

A: We have to evaluate the following limit: limx→π4sinx-cosxπ4-x

Q: Evaluate: Express your answer in three decimal places. limx→8 √√x-2

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Q: Find lim,x - Vx²+ 2

A: To find the limit

Q: 3. Use L'H rule to find lim (1– 2x)/=

A: From the given problem: limx→01-2x1x Let, y=limx→01-2x1x Now taking log on both sides.…

Q: limx-->3 x2−x−6/x-3

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Q: Find:

A: Given that limx→512-x. Compute the limit as follows.

Q: Use a u substitution to find Vx – 7 – 2 lim | x-15 x – 15

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Q: Use I'hospials rule to fidy value lim (4“ +7*)= X¬00

A: Please see the explanation below

Q: find the limt for

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Q: 17x + 12x3 Calculate lim x+o -200x + 4x3

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Q: De nty. lim Bx+5 6+X6-

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Q: lim (3x + 5) = 2, x→-1

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Q: Find Lim 5e*²-2x

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Q: -limx¬o 6x cot3x

A: Explanation of the solution is given below...

Q: Determine lim,-∞ *) . x+1 x+7x (주 00 1 -00. - T-

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Q: Calculate lim V5"+ 9".

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Q: If limx→0+ ƒ(x) = A and limx→0- ƒ(x) = B,find limx→0+ ƒ(x2 - x4)

A: Given: limx→0+fx=A, limx→0-fx=B we know that when x=0+, f0+2>f0+4 so, given limit will be…

Q: If 2x – 2 0, find limf (x). x→1

A: We can use the sandwich theorem to solve this question.

Q: Evaluate х-3 limx→3 x2—х-6 А. 0.5 В. 0.2 С. 0 D.

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Q: x-3x-2 limx--1 х+1 ||

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Q: . Find limx→0 x 3 + 2x − 4/x+1

A: The given limit is

Q: Evaluate lim 3x | 1+ x-

A: limx→∞1+1x3x

Q: lim (x2 + 2)sechx

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Q: Find lim Vx-1 メー メーラ →o

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Q: Lim (112²x - 21²) (sin²x x-0

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

Q: If sqrt(5 - 2x2) <=ƒ(x)<= sqrt(5 - x20 for -1<= x<=1, find lim x-->0 ƒ(x)

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Q: X-SINX 2. lim X0

A: Given: To solve asnwer number 22. limX→0 X-SINXX3

Q: Q3/ 1)- lim, (sinx -) ((3sin2x-sinx +1) 6.

A: Our Aim is to find the limit of the expression given below:-limx→π6 sin x -123 sin2 x-72sin x+1-(i)

Q: lim (lnx) = . x →+∞

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Q: x2-3x-2 limx--1 х+1

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Q: (V16x* + 7x – 4x²) = - 4²) = lim x+00

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Q: ■ Find the limit.

A: We have to find the limit: limx→-3+x+2x+3 Since x→a+ denotes the right hand limit of the function.…

Q: -4 lim x2 1- COSTX

A: