2x*y lim (л, у) -> (0,0) х8 + 6у2 6y2

Q: lim ex+7 x-

A: As per the instruction, we will be answering only the first one. For (15),     limx→ -∞…

Q: 1. limx→4 4x-x² 2-√√x t²+3t+2 2. limt-1 2-t-2

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Q: 3z2-12z + 13 5. lim zI 4-16z+5z2

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Q: ev2x-y lim (x,y)→(3,2) x*-4x2 lim (x,y)¬(0,0) \x²+2y²,

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Q: பாதுக lim sec 20 ー1

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Q: 3 If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D x-2- limit or one…

A: A limit is the value that a function approaches as the input of that function approaches a certain…

Q: lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8

A: Given f(x)=4x+8 So f(2+h)=4(2+h)+8=4h+16 And f(2)=4(2)+8=16

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

Q: Find limit lim (x,y) -> (2,0)   ((Sqrt(2x-y)-2))/(2x-y-4)

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Q: B. Find the limit. Зх— 1 5. lim х-1/3 9х2-1 x3- 1 6. lim х+1 х-1 Vx+5 -2 7. lim X→-1 х+1 Vx-1 4. lim…

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Q: lim f(x) vs f(-3) а. x--3 b. lim f(x) vs f(-1) x--1 c. lim f(x) vs f(1) X-1 d. lim f(x) vs f(3) X-3…

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Q: 5. If lim f(x, y) = 5 (x,y)→(3,–7)" %3D for every curve C in R? containing the point (3, -7), what…

A: If limx,y→3,−7fx,y=5  is true, then it represents that limit exists atpoint (3,-7) for function…

Q: Evaluate lim (x,y) ---> (0,0) (2xy^2)/(3x^2+3y^2)

A: Given term is: limx,y→0,02xy23x2+3y2

Q: Show that 4z2 z2 +1 1 (b) lim- z→1(z – 1)3 (a) lim : 43B = 00; (c) lim = 00. - - z(I – 2) 0+2 I- 2…

A: We will use the simple calculations using some usual formulae to evaluate these limits.

Q: 1. lim (2x + 5) 2. lim (10 - 3x) X12 --7 3. lim(-x + 5x- 2) 4. lim (x- 2x + 4x + 8) ュー-2 5. lim 8(t-…

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Q: : limx->0(1/x3)

A: We have to simplify the given expression. The given expression is limx→01x3∫0xt2t4+1dt

Q: 4 Find lim х — 4 Væ – 2 x→4

A:

Q: lim- LIMIT VALUE: z²-16

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question..…

Q: Find the limits

A: To evaluate the limit: lim1x2-4 (a). When x→2+. Evaluating the limit. limx→2+1x2-4=12+2-4=10+=∞…

Q: ® Find Lim X->2 x¥ _ 2x² - 8 x² - 4 (2 ,X +2 Lim 3X X→3 X- 3 -3 X+3 O Lim © Lim t- fo -) ,X EO X+2 2

A: "Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: lim (x,y)-(-3,4) (x³ +3x²y² - 5y³ +1)

A: Here we have given an expression with limit and we have to solve it. We have lim (x,y)→(-3,4) (x3 +…

Q: iz° + 1 lim z→-i\ z2 +1 ' z--i

A: To evaluate:

Q: .2 lim (x, y) (0,0) along y = x2 |3|

A: Substitute y=x2 in the function. Now the limit becomes

Q: X-4y lim (x, y)- (0,0) 6y+7x

A: limx,y→0,0x-4y6y+7x Take the path y=mx, then as x→0, y→0 limx→ox-4mx6mx+7x limx→ox1-4mx6m+7…

Q: lim (sech 2x)csch x x² +0+*

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Q: 5-V4+3s lims→7 7-s

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Q: (2) limuy)-(0,0) In(1+x²y®) =,

A: When we put x=0 , y=0 in the function we donot get indeterminant form so we can put the values…

Q: lim x---q x2/2x

A: limx→ qx22xPlug in the value x=q=q22q=q2

Q: (4+ 43) (x + 43) -(16 + 43)x limy→ -43 limx. x + 43

A:

Q: 5. lim V2x +1 X-4 6. lim -) ズー1 x-1 CABA 3x+4 if x <-3 AT 7. lim f(x), where f(x) = 2-4 ifx2-3

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Q: √2+x-√2-x X lim- --0

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Q: x²y lim (x,y)→(0,0) x2 + y?

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Q: Find the limit. y 6- 5- 4 3- 2 1- 3-2 -1 -1 1\2 3 4 5 -2t limz-0 f (x)

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Q: Q3: Choose A or B (one only) fx2 +2x x-6x if xs-2 if x>-2 A) Check the continuity of the function…

A: Since we have to choose only one part of the given question, therefore we choose part (A). To check…

Q: lim h-->inf   10/ (h^2+100)

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Q: 4- lim Vsin x

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Q: Calcule el siguiente límite: 1 -3X lim (e3x +e 1)- -

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Q: Qz tanx) lim メ→(室-x)

A: the solution is given below

Q: Q/Calculate limit statement lim sinx-cost XT 4 1-4

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Q: 3 limy 0 1 - x!

A: This is the problem of limit and calculus.

Q: 1f. lim (tanx)x x-&gt;0+

A: Given,

Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: 1ogx -[X] where,nÎ Nand[.]denotes the greatestinteger function. [x] Evaluate:lim- x®Y

A:

Q: 9 – y². |-(16 * 10)x – (4 * 10) lim . -] + lim y--33 + y x + 10 x--10

A: Given,            limy→-39 - y23 + y + limx→-10-16*10x-4*10x + 10

Q: Lim x---> infonity positive 4x^3+x^3-1÷2x^3+5×-1

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Q: lim Vz+6-V6

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Q: x²+x5-2y lim (xy)-(3,9) %3D x-

A: Given limit lim(x,y)→(3,9)x2+xy-2yx-y

Q: Find the limit if it exists.   lim(x,y) ---> (0,0)     (x4-16y4)/(x2+4y2)

A: Given: limx,y→0,0x4-16y4x2+4y2

Q: et – e-T lim r40 x2 + 3

A: