x+y lim In ху (xy)-(1,1)

Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: lim (In(x))½ ?

A:

Q: Lim secx -co tx メーマ

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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: -xy lim (x,y)→(0,0) x²+y2

A:

Q: 2x lim x→0 Vx + 1 – 1

A: Given limit expression is limx→02xx+1-1.

Q: x4-16y+ lim (x,y)¬(2,1) x²–4y2

A:

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: 1. lim (x2 - 2x - 3) x-5 2. lim () x-2 x-7, 3. lim (Vx + 15 ) x-10

A: Functions are given, we have to find its limits Note: we are answered with 3 part only. please…

Q: 1. Show that z³+y³ lim (x, y) (0,0) 1² + y² does not exist.

A:

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: lim In (x°) x2

A: We have to evaluate the given limit.

Q: Find Lim-0.0 (r² + y²) In(x² +y²) '(xy)(0,0)

A:

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

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

Q: (t³ + 8)-dt + 8)-šdt lim

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Q: if limxn = x, limyn = y, proof: limxnyn = xy.

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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: hey you didnt state the assumptions of the model and the limintations as well

A: To state: Assumptions and limitations of an exponential model.

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: lim In(x2 + y?) (x,y)-(0,0)

A:

Q: if fn(x) – f(x)|dx = 0 lim show 1 |fn(x) – f(x)| |1+ fn(x)f(x)| lim dx = 0

A: In the given question w have to prove that if the integration  limn→∞∫01fn(x)-f(x)dx=0then…

Q: lim y approaches 0  ................... [5y3 + 8y2]/[3y4 - 16y2]

A: Consider the given function as limy→05y3+8y23y4-16y2

Q: 3* –1 lim V1+x -1,

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Q: lim (sech 2x)csch x x² +0+*

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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: z² +et= 1-400 2z-e² 2* - 3* 17. lim- x-0 18. lim cotxln(x+1) x-0 16. lim-

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

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: Fird the domain of f (x) = 2-Vx2-5 Solve lim x→-3 =? (Don't use L'hopital Rule) x+3

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Q: lim (In(x))* ?

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Q: lim (x,y)→(0,0) x3y is equal to----- x6+ y2 (a)1 (c)does not exist (d)-2

A: In the above problem, at the point (0,0) the function is not continuous. So, it is not possible to…

Q: lim 4y° + Jy18 – 1 -00

A: Given that: limy→-∞4y9+y18-1

Q: • lim In (tanx) -Lーえ • Lim V9x* + ax 2 4x-1

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Q: (x-y)2 Show that lim does not exist. (x,y)→(0,0) x²+y2

A: We have to find the limit.

Q: lim (In(x))/x

A: We use L'Hospital rule to evaluate the given limit.

Q: 1 lim - 1)dt x→1|1 [1 – x

A: We have to find the limit of the complex expression involving integration . first we have to find…

Q: 16 Estimate lim is approaching to using a table of functional values.

A: We  find the table for the function f(x) near about the point x=4 then trying find out the limit…

Q: 4- lim Vsin x

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

A:

Q: 3 limy 0 1 - x!

A: This is the problem of limit and calculus.

Q: 4xy lim Compute the (xy) (0,0)

A:

Q: 2xy Show that lim does not (x,y)→(0,0) x² + y² exist.

A: The limit function is limx,y→0,02xyx2+y2

Q: 2x (1) lim x→0 3– vx+ 9 -

A:

Q: lim %3D X2 -マメ

A: The solution for the above question is as shown below.

Q: x²+x5-2y lim (xy)-(3,9) %3D x-

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

Q: (b) lim æ In(x² + y²) (x,y)→(0,0)

A:

Q: lim (x,y)(1,2) 2x +x*y-xy 4x2-y?

A: Given,          limx,y→1,22x3+x2y-xy24x2-y2

Q: х — 1 lim x→1+ Vx + 2

A: Here we need to find the right hand limit only.To find the required limit substitute the variable…