g statements a does not exist. 3 exists for a +1 --2 sin r lim %3D 3)2

Q: lim    (5e2x-3e-4x)/(6e2x+2e-4x) x → −∞

A:

Q: (b) How can you use vectors to determine whether four points in 3-space lie in the same plane? 2.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: is not isomorphic to Qi Show that (R. +) (R-1R , )

A:

Q: x³ – 7x + 6 lim x→1 x2 – 3x + 2

A:

Q: Q4: A) solve: 1+rsin 1) lim y-0 1+xcos

A: Given: limy→01+xsin1x1+xcos1x

Q: /1+x-1 lim 1-0 V4 - a - v4- x2

A:

Q: lim a. b. lim t-2 V2 + t – 2 t – 2 sin 7r с. lim 50 sin 3r 8 d. lim 16 16. V9r² + 4 lim 2.r + 1 е.

A:

Q: (b) Find a closed-form expression for Ak+1, k1, where 0 0 23 30 -18 -235 A 0 9

A: Given that Now the eigenvalues of A obtained from Eigenvector corresponding to .

Q: lim (3x° -4x2 +3x +2) 4x +3x +2 X→-1

A:

Q: INSTRUCTION: Prove or disprove 1. Show that f: R-{-}→ R-{} defined by f(x) 3x-5 = is bijective. 2x+1

A: Given :  f: ℝ--12→ℝ-32   defined by ;                f(x) = 3x-52x+1 To prove : f is bijective.

Q: 4) Calculate lim (√t-3, V-2, tan t-4 t-4 (-)). HINT: On the second component, you can factor t - 4…

A: To find:-

Q: Discu ss the Singu laritie s and poles of zez Sin z f (z) = (z-2)(z²-1)* (2²+52+6) (z+7) (z²+4)

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Q: #31 Find the limit X- す wsl

A: We have to find the limit

Q: Find a bijection between the following sets: (a) (8,00) and R. (b) (-8, 8) and R. (c) {-1,1} x N and…

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Q: 4. (x² – { x + 4) + (&r – 9) 5. (x² – 9) + (x² + 9) 6. (x³ + x²) + (2r – 5r²)

A: To add the expressions

Q: lim (4t – 2at + 3a) →-1

A: We plug t=-1

Q: 4 3 Find all zeros of f(x) = x + 6x° + 9x² + 14x – 30. Ente Preview

A:

Q: Hi I need help with part iii

A: The function ( iii ) is analytic in the region ∣z∣<2  and ∣z∣>2Explanation:

Q: x+3 Evaluate: S dx 5-4x-x A. -V5 – 4x – x² + arcsin+ C x+2 B. -V5 – 4x – x² +arcsec+C 3 C. -V5 - 4x…

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Q: ) lim (Vx+3 +Vx) 14

A:

Q: x- 1 lim Vx² +3 – 2

A: given limit

Q: 2) lim x→4 4x-x² 2-√√x

A:

Q: If 4x<9(x) <2x-2x°+4 for alle x, evaluate lam g(x). Explain!

A: on solving this we get

Q: ソ→0

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Q: z2 – 2z – 9zi – 8 – 18i - Evaluate lim z4+9i z2 – 4z – 9zi and write it in the standard a + ibform.…

A: The given problem is to evaluate the given complex limit, we have to check 0/0 form then we can use…

Q: Using Taylor's theorem, formally represent 2x° +x* – 3x³ +x² – 5x +1 as x+1.

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Q: Identify and sketch the domain of the function In (4-x² - y²)-√√ √(x−1)² + y² −1 f(x,y) =

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