Consider the following sequence x₁ = √₁, x₂ = √1 + √I, x3 = √1+√₁+√₁ Evaluate lim xn (No credit for decimal answers- n→∞0 1+√5 answer must be exact, such as etc. 2

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Q: 3. Let (Sn) be a sequence of nonnegative real numbers, and suppose lim s, = 0. Prove that lim S, =…

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Q: Make an educated guess as to the limit of the complex sequence zn = in / (2n + 6). Working directly…

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Q: how can i apprach this problem

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A: Here we use the definition of monotonically increasing sequence in step (2) and in step (4) we use…

Q: Va – V22 lim x → 22 х — 22 - (Use

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Q: Make an educated guess as to the limit of the complex sequence zn = in / (2n + 6). Working directly…

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A: We have to find the values of limit and then integrate 0 to 1 with respect to x

Q: 2. Let {an} be a decreasing sequence of positive numbers with limit 0. I define a new sequence {xn}…

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Q: -5/7-3x with two intervals 36/5 and 19/5

A: For two Intervals  (36/5, 19/5) For X= 36/5 The Value of given expression is,

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Q: ii) Show that lim - 1+22+33 +...+n' "]=1 1/n

A: Apply Cauchy Frist theorem on limit

Q: م کا ہے اور بر م permetry fregresse ce the furm it them find the llowing ratio of the que do

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Q: 10 Monday lim 20 315 5 에요 글

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Q: 1 Assume that lim xn +oo. Prove that lim n-00 n +o0. n-00 k=1

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Q: Compute lim 0 tan-(5x) 5 25 undefined 1 25

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Q: 6. Prove from first principles (with ac- 6 argument ) that लेग ½ lim 7--1

A: 1x2+1-12=2-x2+12x2+1                               =2-x2+12x2+12+x2+1…

Q: Evaluate lim, (3 + t +). 10 10" A. 10 B.- 10 C. 10" D. 10 3 E. None of the above.

A: We use the geometric series to answer the given question.