Vh? + 15 – Vh + 15 Vh + 3 – 2 - (b) lim h→1 Answer: 1/2 -

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Q: 3x2 + 1?y? + 3y? + 3z2 3 Show that lim (1,y,2)+(0,0,0) 1² + y? + z²

A: The given rational function is 3x2+x2y2+3y2+3z2x2+y2+z2. Evaluate the limit along the line y=0,z=0.…

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A: Find the limit of limx→3+x-3x2-9

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

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Q: V1+ 4x6 lim t→-o 2 – x³

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Q: iz?-z- lim- z2-1 i o -i O 1 0 -1 0

A: Calculation/ Explanation : Let  A = limz→∞i z2 - zz2 -1 Divide numerator and denominator with z2 we…

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A: Limit of a function at a point exists if both the left-handed and right-handed limits exist and are…

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Q: 4) lim1+ 1 = ? %3D - r-

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Q: t3 – 7t2 + 16t –- 12 t4 – 4t3 + 4t² 5. lim t2 w? – 4w + 1 6. lim w-00 3w2 + 7w – 4

A: limt→2t3-7t2+16t-12t4-4t3+4t2

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Q: x--2xy lim (x,y) - (2,1) x²-4y² .A 3 .B 1 4 .C .D 1 2 ONIM

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Q: V 2x - lim =? X→1 Vx3 + x – Vx² + x 1 + 2 + ...+n lim =? n2 n→∞

A: We will solve the problem

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A: Method 1 :-

Q: lim Vn² +n –n=0 -

A: Given Lim n-infinity √(n²+n) -n When we pit n is infinity directly we found a infinity-infinity form…

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Q: Q7 a) (-) lim x-0 b) (₂) 2 lim 48 3r

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Q: 3x+x Q2) Evaluate limy+o 2-8

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Q: Q2) A) 1-VI+1 sinax 3) lim I+1 1) lim 2) lim

A: Given that:                       (1)limx→∞x+1x2+3 (2)limx→01-x+1x(3)limx→0sin3xx   NOTE: As per our…

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A: The given expression is limt→-1t2+3t+2t2-t-2

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Q: Q3/Solve THREE only 30 M 6V-6V2x-1 5) lim a+2|-2 sin(x-1) 1) lim 2) lim *-2 3) lim 4) lim 1+2x-3 -1

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Q: (a) 1? - 9 lim --3 21? + 7t + 3 (ांच 1 (b) lim t/1 + t 4 lim x--4 4 +E x (c)

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: *+xVア-2) lim )(4,16) x - Vy

A: Here we have lim(x,y)→(4,16)x2+xy-2yx-y

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Q: 3x3 lim (r,v)→(1,-2)! - xy2

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Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: lim 15 13 15z2 Vr? + 8z lim %3D HY8 9-4x Vr? + 8z lim 9-4r /7

A: Given query is to find limit of the expression. Since first three has been filled correctly, solving…

Q: Q4/A/ Evahuate Vi+x -1- 2r-7x-15 5 3- lim,0 1- lim, o (tan 2x.csc 4x ) 2- lim,. x-5

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Q: J6 - V5h? +11h +6 lim- x→0 h

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Q: Ass 1. lim t2-4 tウ-2 t2+st+ 1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. lim 七や~1 Sx?+3-2, zー1

A: To Find the Limits of function 2.) limx→-1 x2+3 -2x2 - 1

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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: 2. Lim Z2-1 / Z2+3Z-1

A: 2. Given,                 limZ→-16Z2-1Z2+3Z-1=?

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A: The limit of a function at the value of the variable is the value of the function when the value of…

Q: 5n³ + (–1)". If y = lim 4n³ + 2

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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)

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A: Given that  the limit is  To evaluate the limit

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Q: 3i - lim t-25 (t – 20)2

A: We substitute t=25 in the given expression

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A: We know the result that : limit of integral is equal to integral of limit. Use this result to find…

Q: x? + 4 Find Lim- x-0 2e* + 1 4 А. 3 В. оо 3 D. 4 С. О

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Q: Find the limits

A: We have to find the limit: limx, y→0, 03x2-y2+5x2+y2+2 Since it is simple determinate limit so…

Q: x? - 2y2 lim (x,y)-(0,0) x2 + 2y2

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