A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit. – 8x lim 4 + 2x 4х — 4 lim x → – ∞ x3 + 2x 5 x2 9x lim 3 6x2 Vx2 + 14x lim 2 4x x² + 14x lim x → - O 2 — 4ӕ ||

Q: Q3: Find the limit for the following functions: - 4 1- lim(- x→2 x-2 - x2 -4 2- lim(x – Vx2 + x) x-1

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

A: limx→∞-4x12+2xApply L-Hospital Rulelimx→∞-42=-2limx→∞-4x12+2x=-2

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: 15x lim 15 + x2 – 2x + 14

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: С. 1 Evaluate the following limits x2 +6x+5 1) lim x-5 x²+2x-15 x(х-5)-24 2) lim x→8 x2-8x (2+x)3-8…

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Q: Find the indicated limit, if it exists. x+4 x<-5 lim f(x), f(x) = X-5 4 - x x2-5

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Q: - 9x lim I- 00 10 + 2x 12x – 3 lim I+- 0 r3 + 9x – 3 2? — 15х — 12 lim 9 – 14x? Va2 + 6x 7 – 7x lim…

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Q: 4. Use the definition of limit to prove each of the following. a) lim (5x- 11) = -1 d) lim x = 2 b)…

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.