lim zta sec z is A B 2 D nonexistent

Q: a. limr→0 cos(x) b. limx→n

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Q: lim (4x – 3y)= -11 Prove that (r.,v(-2,1)"

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Q: lim sin Zy Fan3y ア

A: Limit y tends to 0.

Q: Find the one-sided limit

A: limx→12-x secπ x Now secπ x tends to ∞ as x tends to 12 from the left side.

Q: lim (x,y)→(0,0) (x² + x²) (х, у) ->(0,0) а. 0 b. 1 с. 1/2 d. Does not exist

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Q: 4. Proof Prove that lim x"y" dx dy = 0. n→∞

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Q: lim ( + y) In (² + y?) (z.y)-(0,0)

A: We can write the above expression as following :' x2+y2lnx2+y2=(x4+x2y2)lnx2+y2x2. Now, if we put…

Q: lim (x)-(.0) tan , -= (A) Does not exist (B) e? (C) 0 (D) ezn (E) e *IN

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Q: lim (x,y)¬(0,0) cos-1 (*-xy x²+y²

A: Given

Q: lim (x,y) (0,0) Vx²+y² In (x²+y²)2 O is equal to 2 O is equal to 1. O does not exist. O is equal to…

A: We have to find the limit.

Q: lim a-1 In(1-x) dx X

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Q: lim 5z O lim sin z 1-Cos z O lim sin z O lim 22+2 lim Z0 sin z z2-1 lim z1 z2+2

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Q: Show necessary computation x²-9y? lim (x,y)→(1,0) tan-1 (x4 – 4xy + y²) lim (х,у)-(0,0) х-Зу b. а.…

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Q: Lim Vn' +n

A: Explanation of the answer is as follows

Q: lim (x,y) → (0,0) Vx2+y2 In (x²+y2)2 O is equal to 0. O does not exist. O is equal to 1. O is equal…

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

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Q: lim (x,y)→(0,0) In(2 + x² + y?) x² + y?

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Q: lim x-4y (x,y)- (0,0) 6y+7x .A does not exist.

A: To calculate the given limit: limx,y→0,0x−4y6y+7x

Q: The value of limit x→0 of {sin (a + x) – sin (a – x)}/x is

A: we have to find the value of  limx→0sin(a+x)-sin(a-x)x

Q: lim (4 + (x + y} ) In(x² + y)) (х.у) - (0,0)

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Q: k a] lim = 0 kER %3D

A: 2(a) In this question, we prove the limit of the given sequence by using   ε-δ definition.

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Q: 1. lim z-sinfinity (az+b) ³/(z+d)³ 2. lim z->1 (1-z bar)/(1-z) does not exist

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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: lim -3- tan-() = lim-otan-ly %3D True False

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Q: Find the limits

A: Consider the provided expression, limx,y→0,4xy Find the limit of the provided expression.

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

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Q: 5 sin(2z) z-40 1- cos(2) Find the limit. lim COS

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Q: Series to Bind use lim Xe² 1- Cos 2X

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Q: lim Jx-S

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Q: A = lim %3D i = 1

A: Given that: The equation is f(x) = x 2 e x  ,     0 ≤x≤3 .

Q: 6n + 2 3. n→∞ 2n + 1 3. Using the definition (i.e. N, E), prove that lim

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Q: Squeeze Theorem to evaluate lim x→0+ x [1 − cos (1/x)]

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Q: lim (2,y)+(0,0) In(2 + x² + y?) x2 + y?

A: We have to solve given limit:

Q: lim(z – 1) csc TZ Is

A:

Q: sin x 3. Prove that lim :1

A: To prove: limx→0 sin xx=1   Theorem Used: Squeeze theorem: If f(x) ≤ g(x) ≤ h(x) and limx→a…

Q: 3. Evaluate (3x + 1)dx by using the limit definition with the right end points. (Don't use the…

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Q: Find the linearization at x = a. f(x) = sin³ (x), a = %3D (Use symbolic notation and fractions where…

A: Given fx=sin3x, a=π4 To find linearization at x=a

Q: sin(nt lim In z 1 lim (1+

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Q: lim (x,y)→(0,0) (3 + (x² + y²) In(x² + y´

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Q: limf(z) =lim %3D O صواب İhi O

A: Ans : true

Q: not exist". x2 + 3x + 2 (а) lim x-2 x +2 cos O 1 (b) lim 0→0 sin 0 (c) lim In(sin r)

A: To evaluate the following limits: a limx→-2x2+3x+2x+2 blimθ→01-cosθsinθ climx→π+In sinx

Q: Find the limit. lim sec x lim sec x= (Type an integer or a simplified fraction.)

A: Solve the given problem

Q: lim (z,y)→(0,0) (2+(x² +y²) In(x² + y²))

A: We have to find the limit of: lim(x,y)→(0,0) 2+(x2+y2)ln(x2+y2)

Q: sin z 1 Evaluate lim,

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Q: Use L'Hopital's Rule to find lim x → 0+ 1 x 3 In z O A. Vē О В.е O C. Ve O D. e? O E. e³

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Q: lim(x,y)->(0,0) = (1+x2+y2-cos(x2+y2))/(x2+y2)

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Q: 2 -z+1-i Prove that lim =1- :l+i z- 2z+2 2

A: solution is given below