Suppose that {n} is a sequence of real numbers satisfying lim xn = 1. Use n→∞ in the text book to prove that lim (1+2xn) = 3.

Q: In (x+1) lim log, x f)

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Q: Show that lim [((-1)^n ∙ n)/(n^2 + 1)] = 0

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Q: Find the limits in Exercise

A: Given: Let y=limt→6 8t-5t-7  To Find: To evaluate the given limit.

Q: VE-5 (c) lim I-25 - 25 T

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Q: 6. a) State why the limit of f(x) = √5x - 1 does not exist for x

A: Please refer to the image below

Q: x -1- V3x +1 V3x + 1 lim x-5 x - 5

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Q: (d) lim 1-0 1 +3 - 3/1 I

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Q: 3* –1 lim V1+x -1,

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Q: correspondig limit x' +x -8x-12 a) lím x* +4x' +5x + 4x +4

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Q: Let g(t) : 3 - VE t – 9 - Find the value of lim_9 g(t), or state that it does not exist.

A: g(t)=3-tt-9

Q: Find the limit of lim x(√64x²5 ∞0++* √64x²14) = = lim x(√64x²5 -5-√√64x²-14) ∞0++x

A: limx→∞x64x2-5-64x2-14

Q: In (1+x) lim

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Q: 1 lim t→0+ (뉴 1 Vt2 +t,

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Q: In x Apply L'Hop rule. lim

A: We have to find the limit by using Lhospital rule.

Q: 1 x-1 x-1 ln x 3) lim

A: Explanation of the answer is as follows