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Q: 6x2 sin(y) lim (z,y) → (0,0) 6x2 + 9y2

A: Since it is indeterminant form.  Therefore we can consider y=mx  And therefore after applying limit…

Q: Evaluate

A: Consider the limit Squeeze theorem states that if f(x)<=g(x)<=h(x) for all numbers and at…

Q: x2 – 1- y lim (x,y)→(1,0) X – Vy +1

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Q: 1-cos2 (x+y) 3. lim (xy)-(0,0) (r+y>)ety

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Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

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Q: Find the limits

A: Given: Function  To Find: Limit of the function at the given point

Q: sin(1 – t) |2 – 2t| (b) [8 marks] lim t+1-

A: this is left hand limit then limit approaches from left side

Q: Find lim "(x.y)→(0,0) (4 + (x² + y? ) In(x² + y² )) Dose not exist O 1 4

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Q: sin 3y cot 5y Q7// Evaluate limy-0 y cot 4y

A:

Q: 3* Evaluate (a) lim sin y and (b) lim y x-1 Vx +5

A: we have to evaluate the following: a)  limy→π3 siny b) limx→-13xx+5

Q: Q 3/ x-sin x A- Find lim,0 1-cos x.

A: Explanation and solutions is given below....

Q: sin x lim bx = ? Use L'Hospital's Rule b=13,4

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Q: sin 3y cot 5y Q7// Evaluate limy→o° y cot 4y

A:

Q: |z²–1| 2 1) Use a tble of functional values to evaluate: lim I-1

A: The tables containing the functional values are very useful to approximate a limit. The tables are a…

Q: .2.4 lim (z,y)→(0,0) x² + y?

A: follow next step

Q: Lim (csc y+1)/(1-sec y) a) as y -> pi/2 b) as y -> pi/4 c) as y -> 3pi/2

A: (a) As y -> pi/2, Lim (csc y+1)/(1-sec y) = [csc(pi/2) + 1]/[1 - sec(pi/2)] = (1 + 1)/(1 - 1/0) =…

Q: lim,-o ([sin x]*) is

A:

Q: Find the limit

A: We write the expression using sin and cos

Q: tan (xy) lim = ? (х, у) ->(1,0) у+ 2ху 1 1 (b) (e) (c) 를 (d) i (а) 0 (e) 1 3 ||

A:

Q: e-3sin z (c) lim x² (d) lim sin(rx) lIn (x – 1) x→1+

A: The given limit is: (c) limx→∞e-3sinxx2  To find the value of the limit.

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

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

Q: I. lim .sin (x,y)→(0,0)

A: As per bartleby guidelines only one question should be answered once, please send each question…

Q: a² sin(y) lim (x,1)→(0,0) x² + yª

A: Given limit, limx,y→0,0x2sinyx2+y4

Q: tan X AWO Lim メーラク メ O Lim 2, 5+s° (3) Lim J-→の y生チンチアメチタ

A: Since you have posted multiple question in this question so I have solved first three question…

Q: Evaluate lim (2+ y) sin(x). (x,y) → (1,6) 02 O O o O Does not exist

A:

Q: 2. Einstein's Special Theory of Relativity says that the mass m(v) of an object is related to its…

A:

Q: sin(cos y) y 4-lim, 2

A: Limit Solved .

Q: sin 3y cot 5y Evaluate limy-0 y cot 4y

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Q: 2x tan x+ cos I COS T lim

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Q: Evaluate cot x – cos x lim z¬7/2 (T – 2æ)°

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Q: 1 Y = ex Equation: 1 lim x→+∞ ex Evaluate:

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Q: Evaluate:* x + 4x lim x4x2 + 2x - 8 4/5 1/2 2/3 3/4 Differentiate with respect to x: * y = sec(x² +…

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Q: Lind Lim Sin'(Ox) sin (sx) X-o

A: According to the L'Hospital's rule, if limx→mf(x)g(x) takes the form of 00 or ∞∞, then limx→m…

Q: x2 dx. Which of the following options is correct? 00 Consider 9+x6 00 Arcsin 9. + lim - Arcsin 3 A…

A:

Q: AWO Lim tanx L Szx Lim X-CSc メーラク メ メラ。 OLim ()) S→の 6 Lim di6-X +1XI メー→ロ y4 (3) Lim J→ y2ラッチアy49 4…

A: 1. limx→0tan xx2. limS→∞SS+1S25+S23. limy→∞y4y4-7y3+7y2+9 Note:    Multiple parts are given, we are…

Q: ut. AW O Lim tanx Lim X: CSc Jzx メラ。 メーラク のLim 5→の 6 Lim 16-X + 1x1 メーラマ Sinx 3 Lim 3-→ yテンネマ4 のLm(…

A:

Q: sec2x-2taпх lim X→T/4 1+cos4x

A: Consider the given limit limx→π4sec2x-2tan x1+cos4x   limx→π4sec2x-2tan x1+cos4x=00 Which is…

Q: tan( xy ) lim (x,y)→(0,1) x´y+x 2 |3|

A: Given function is limx,y→0,1tanxyx2y+x

Q: 1-sin /r'y| If the inequality * (0,0) 24

A:

Q: sin 3y cot 5y lim y0 y cot 4y

A: Given limit is,…

Q: 9. lim -cosy y>0 sin? y sin y 10. lim y»z 1+cosy sin ax 12. lim x→0 sin bx 11. lim x csc 3 x

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Show that (x + 1)² sin y lim (x,y)→(−1,0) (x+1)4 + y² does not exist.

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

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

Q: Find the limit. 2. (2 sin x+2 cos´y+4 sec lim P→(2,2,0)

A:

Q: ex+y (²+x*)siny Зх - 2y П. lim III. lim (x,y)¬{0,0), lim 2 x* +y" (х.у) -0,0) 1+e*-у (x.y)-0,0)

A: We have to solve given problem:

Q: Which of the following will make limx→c f(x) and f(c) equal? limx→2 : (x²+x-6) limx→–1 (x³ − 2x + 3)…

A: