For B = – lim r² -1 6 sin z which one is B?

Q: Evaluate the following limits.

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Q: Let a be a nonzero constant such that a + 55. Let ax? + sin? y 55x² + y² f(x, y) = and let L =…

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Q: Q2/ a) If f) = , what are the domain of f(x) and g(x)? sin 6x lim 0 sin 9x b) Find

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Q: Evaluate using Theorem as necessary.

A: Given limit: limt→0 t3+9sin tt We can write the above limit as limt→0 t3+9sin tt=limt→0 t3+9×limt→0…

Q: Find the value of the following and justify your result. (a) lim | [(4x – 3) sin(æ)]/2n-1 dax (b)…

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Q: Evaluate the following limits. x + sin(x) + 2vT x + sin(x) V1+x – 1 – 5 a) lim 2 b) lim r2

A: Given: a  limx→∞x+sinx+2xx+sinxb limx→01+x-1-x2x2

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Q: Choose the correct answer for the following limit S sin t3 dt lim 3x4 (A) (8) -1 (C) 1 4 (D) 4. (E)…

A: Let us consider the function F(x)=∫a(x)b(x) g(t) dt Then the derivative of the function is given by…

Q: Find the limit of the trigonometric function .

A: The objective is to find the limit of the trigonometric function. limt→0sin 3t2t Trigonometric rule:…

Q: Which of the following corresponds to the x-4 √x-2 evaluated? 0 4 2 DNE limx→4 ( when

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Q: ´tan 3x sin 2x x#0 P] (4) Consider the function f, given by f(x) = x= 0 (For parts a and b) Evaluate…

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Q: Among the solutions of the 3rd order linear ODE y" – y" + y' – y = 8et, only one function satisfies…

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Q: Choose the correct answer for the following limit sin-1(x) – tan-1(x) lim 2x3 (A) 3 (8) -3 (C) (D)…

A: L'Hospital's rule is a useful method to find the limits of indeterminate form. There are two…

Q: What is the limit of sin when x approaches 0? Select one: O a. 1 O b. 0 O c. Does not exist

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Q: So sin(t²) =? lim, »0* O a. Limit does not exist O b. 1/3 O c. 00 O d. 0 O e. 2/3

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Q: ´sin(2x)-1) lim x→n/4 \ cos²(2x)

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Q: 1-cos r-r² 1) lim,-0

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

Q: For B = - lim 0+6 sin z which one is B? Türkçe: B- - lim 0+6 sin olmak üzere B aşağıdakilerden…

A: Find B=-limx→0+xx-16sinx

Q: Please

A: To find:

Q: e sin z -I lim z+0 16 cos z – 16 (Us

A: From the given problem: limx→0exsinx-x16cosx-16 Now solve:…

Q: Find the values of a and b such that

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Q: 2y-n -Tt 7. lim cos y 2

A: Given:         limy→12π2y-πcos y    Let   π2-x=y, ⇒π-2x=2y      As y→π2,x→0

Q: find lim f (x), if it exists. 1– cos z 59. ƒ (æ) = Answer + sin z 60. ƒ (x) = e" – 1 61. ƒ (z) = %3D…

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Q: (-cx² + 2x, (sin x + cos x, x> n x<π 9) Prove that lim (x* sin+5) = 5 10) f(x) = What value must c…

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Q: Q3. Compute the following limits if they exist. sec a - 1 (a) lim x – sin r (b) lim 20 x - tan r 2 –…

A: Q.3 part a) Substituting the limit in function, This is indeterminate form 0/0,

Q: Choose the correct answer for the following limit So sin t3 dt lim 2 x4 (A) (B) (C) 8. (D) (E) (F)

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Q: Find the limit. j+ tan(2t) k sin?(t) -3t i + lim t→0 e

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Q: e n Show that for any &> 0 and S, ₁X₁, lim P(S₁-0 ≥ 8) = 0. =

A: We will use Chebychev's inequality to find the required limit of probability.

Q: 2 dx 5, is same as evaluating lim cos C+2+ F(<x))". Determine the value of f(x) if x=3.22 In…

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Q: Find values of a and b for which cos (ax) – b -1. lim x→0 2x2

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Q: ax + sin? y Let a be a nonzero constant such that a 89. Let f(x, y) : and let 89r? + y² L = lim(z,)…

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Q: Choose the correct answer for the following limit sin-1(x) – tan-1(x) lim x-0 2x3 (A) (B) -3 (C) 2…

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Q: Calculate the following limits. x² – sin²2x lim X→0 x2

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Q: Q 4. (a). Simplify the indicated limits on the following. (CLO-2: LOL 3x²+5 lim X→∞ x2+1 [sinx lim…

A: Q 4. (a) (i) The given expression is limx→∞3x2+5x2+1

Q: t+1 e i+ sin 2t lim 花1=?

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Q: Find the limits Sialve) , 3) - e* § + lim Sin(yt) Cos (3t) -1 も→D Sin? (4t) lim Yet ニ + lim Sin…

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Q: Evaluate lim i+ cos rj sin (at)

A: Follow the procedure given below.

Q: 1) Answer the following: 1. Find: lim-5-25 x-5 2. Find x2 + y? = 9xy dx 3. Find y': y = 5 sin3x

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Q: Find the limit. cos(50) – 1 lim sin(78)

A: Given,            limθ→0cos5θ - 1sin7θ

Q: Which ONE of the following statements is TRUE with regards to lim (x,y) → (0,0) sin (xy) x² + y²

A: The correct answer is option D.

Q: Evaluate the limits for each of the following; sin 3t lim 0 t(t +9) (a) sin? t lim t→0 3t2 (b) (x+1)…

A: limx→0sinxx =1 As you have asked multiple question we will answer only the first three subparts for…

Q: tan (xy) lim = ? (x.y)→(1,0) y+xy (c) 3 (d) - (e) 1 (a) 0 (b) 114

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Q: Please show step-by-step solution

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Q: Find the value of the given limit. lim tan(4x) I I-0 O a) 1/12 Ob) undefined Oco d) 4

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Q: Choose the correct answer for the following limit S sin t dt lim 3x4 (A) (B) (C) (D) (E) -4 (F) 12 A

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Q: - Evaluate the following limit 2 sin z – sin 2r a. lim

A: Evaluate the limit limx→02sinx-sin2xx3

Q: 1+sin(x) lim is p ritoc 9. O alon13 (A) 0 (B) 1 (C) 2 (D) TT 00

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Q: Find the convolution of fix) = sin bx, g(x) = exp(-alx), a>0.

A: Convolution: Let and be two piecewise functions, then the convolution of them is denoted and defined…