Can the following limit be calculated using L'Hopital's rule? x + cos(æ) lim x→ 3 x + sin(x) + 2 If so, enter the value of the limit in the box below. If not, enter a letter corresponding to a property above that is violated and explains why L'Hopital's rule can not be used. (Your answer is case sensitive. You must use a capital letter when entering a property.) The reason or limit is

Q: 2.54 For each n e N, let X„ be the set of polynomials of degree equal to n, and let Pn = U-o Xk.…

A: Sol

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Q: 1. 4 + 10 + 18 +..... + n (n + 3) = [n (n + 1) (n +5)] / 3 for n e Z+ Use Mathematical Induction

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Q: 6. Which of the following is the graph of r =' 2 - sin 0

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Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, a = 0, x = In…

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Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

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Q: 4. Find the sum of positive divisor of 5,020 and also find the pair of this number so that they can…

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Q: Find the values of w, x, y, z of the equations 4w+8x-8y-8z= 12 бw+12x-20y+9z %3D6 |

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Q: 5. Use a trigonometric solution to find the magnitude of the resultant of the following coplanar…

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Q: -пя for all x € 0, 00). t fal(x) — же па for all z € [0, co). Find || fn||sup for all n. Prove that…

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Q: 2a] aS a product Of irreducible polynomials.

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Q: 3 2 Given Rn 6+ i– 6+ i- express the limit as n → 0 as a definite integral, that is provide a, b and…

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Q: 9. Consider the annulus N function on 2 is the real part of a holomorphic function on N. {z € C :1 <…

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Q: 9. Remember: y =h+(v, sin@)t-16t The homerun fence at the Parametrictown Community Park near Chicago…

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Q: Verify the Divergence Theorem for the vector field and region: F = (4x, 6z, 8y) and the region x² +…

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Q: what is the Matchings and covers ? And give Examples .

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Q: True or false 1. The sum, difference, product and quotient of any two integers result to an integer…

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Q: cosh In(-3+2j)] a. -1.6154 + 0.9231j b. 1.9396 + 0.0741j c. 18.3972 + 0.8193 d-15.3227 10.1998j

A: option a is the correct answer

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Q: Recall that the differential equation for the instantaneous charge g(t) on the capacitor in an…

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Q: sider the ideals I = (a, y) and J = (x- 2y) in Q[x, v]. Vī, %3D %3D

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Q: Rule 1: Multiply by 2 then add 1 starting from 1. Rule 2: Divide by 2 then add 4 starting from 40.…

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Q: Find minimized SOP expression using K-Map with the given function: f (A,B,C,D) = TM (0,2,5,7,15) D…

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Q: A department store opens at 9 am daily. Suppose customers of the store arrive at a steadily…

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Q: what is the Hall's Matchings condition And give examples

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Q: 1 1 C. TRUE or FALSE The vector 1 2 and 3 form a subspace in R³. Justify your answer.

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Q: what is the Matchings alternating path and what is matching augmentating path And give example of…

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Q: 2.66 Let fn(x) = z for all r E R. a) Find the pointwise limit of fn. b) Does f converge uniformly on…

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