Find the limits by using L.Hopital rule : 7x 1. lim x-0 sin 2x x2-16 2. lim x4 (Vx+5)-3

Q: Find lim Itcos 2X メ 니(x- 폰) 2

A:

Q: lim2

A: Explained below

Q: CONSIDER THE FOLLOWING FUNCTIONS. f22x+1 AiD gca)= xー1 a) DE TERMINE jG&) =f(x)• g(x) Lim…

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Q: Find the limit: 2x+60-8 lim x 2 x² + 3x - 10

A: Given query is to find indicated limit

Q: find lim ( Sx²+ax-Jxb% 2. Xつや

A: Solution  limx→∞Axn=0 , where A is constant and n>0

Q: Evaluate the limit: lim 4e10x – 4 13x - x→0

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Q: Evaluate: * х — 5 lim х-5 Vx+4 – 3

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Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: Sfsin(r – y kýyd . B. (i) Evaluate 00 sVx+1 lim (ii) Evaluate * 4Vx +3

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Q: 1 c) lim x+0 \ex-1 X.

A: the given expression is: limx→01ex-1-1x…

Q: V5x+4-3 3) lim X-1 x-1

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Q: 4. Find: b) lime X0 x sinx

A: Find the limit by using L'  Hospital rule

Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

A: Need to write down the method to determine that l hospital is applicable or not.

Q: Evaluate the limits with either L'Hopital's Rule or previously learned methods: Vx2+5x+2-2x 2. lim…

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Q: Evaluate the limit 2x + 4 lim I→ 0 3x2 - 7x + 7

A: Given

Q: Find lim x+x:

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Q: \Find the limit: lim x¹/Inx 818

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Q: Determine limx→−2 6/x-2, if it exists

A: limx→−2 6/x-2 yes limit exist and we can direct apply the limit so put -2 in given function…

Q: Зх + 5 3 lim 6х — 8

A: Given limx→∞(3x+56x-8)13

Q: nd lim sinx -b x2 our answer: b. 2b does not exist ear answer

A:

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.