5. Compute the following limit if it exists.   limx→5 x 2−3x−10/x−5 Select the correct choice below and fill in any answer boxes within your choice.     A. limx→5 x 2−3x−10/x−5=nothing ​(Simplify your​ answer.)   B. The limit does not exist.   Click to select and enter your answer(s).

Q: Evaluate the limit using the Basic Limit Laws

A: Let the given limit be z - z = limy→13 18y2-44Substituting limit y=13,z = 18132-44z = 189-44z =…

Q: Determine the following limits using the table of values 1. lim 1. X→ー-1 X+1 2. lim - x-0 2x2 3. lim…

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Q: R(x) 16 14 12 10 6. 4 2 3 4 Years Revenue (millions of dollars)

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Q: Evaluate the limit lim sec 10

A: Please refer to the image below

Q: 3. a) Examine if the following limit exists, x + y + 1 lim (x,y) (0,0) In(x2 + y²)* If the limit…

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Q: Compute the following limits if they exist. If a limit does not exist, indicate whether or not the…

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Q: x2 + 8x – 9 4. lim x→1 x3 2а? — 5х + 6 - -

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Q: Find the limit, if it exists. lim- Z-1

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Q: Find the limit, if it exists.

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Q: Compute the following limits.  limx->2 1/(x-2)5.

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Q: valuate the limit, by using the appropriate Limit Law(s). limx→1(1+3x1+4x2+3x4)3

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Q: Compute the indicated limit. 5x2 – 5x – 3 lim x00 4x – 2x? – 7

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Q: Find the limit as x--> ∞ lim In x2 O 2x 00 8.

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Q: Use the precise definition of a limit to prove that lim (3x + 5) = 35. X-10

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Q: Use two different paths to demonstrate that the limit: lim(7,9)→(0,0) x*y?+(x=y)?

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Q: Use L'Hospital's Rule to determine the value of the following limit Lim X- 00 x2

A: Given,         limx→∞xx2

Q: Use L’Hôpital’s Rule to evaluate the limit, or state that L’Hôpital’s Rule does not apply.

A: Consider a function fx. Then, the limit of the function at x=a, we get, limx→a fx=fa

Q: Prove the following limit using the limit definition: lim-(e-") = 0

A: Given,limx→∞e-xe-x=1exlimx→∞ 1ex

Q: Use the formal definitions of limits as x→ +-∞ to establish the limits If ƒ has the constant value…

A: The given function is fx=k. let ε>0. Take N=10. Clearly, fx=k    for  alll x>N.

Q: 1 1 -+- 3 lim x→-3 3+x

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Q: Use a table of values (on your calculator) to estimate the value of the limit to at least 2 decimal…

A: Given, limx→1x2+4x-5x-1 Using table of values,  we have to estimate the value of the limit at least…

Q: lim x" x→0+

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Q: Estimate the following limit using graphs or tables.   lim x->1((StartRoot 2x - x4…

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Q: Find the following limit, if it exists. If it does not, explain how you know. Show at least two…

A: Limits

Q: Evaluate the limit. limx→2 e^x^2−e^4/ x^2 −2x

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Q: Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not…

A: Determine the limit limt→∞3t2+t. limt→∞3t2+t = 3∞2+∞=∞ Therefore limt→∞3t2+t =∞

Q: 1 + 2 1 lim -2 3 + 8

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Q: Estimate the following limit by substituting smaller and smaller values of h. lim (7+h)³–343 h h→0…

A: The solution are next step

Q: Evaluate the following limit using table of values and graph a. limx→+∞ e2x b. limx→-∞ e5x c.…

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Q: Evaluate the limit using L'Hospital's rule if necessary limx→∞(1+7/x)^(x/4)

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Q: 2. Compute the following limits: (a) lim -x+ 7x + 3 (b) lim -x* + 7x +3 3 + 7x + 3 (c) lim

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Q: Determine the following limits at infinity. 10 lim a5 + *+

A: Given, limx→∞a5+1x+10x2b

Q: Find the limit, if it exists

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Q: Find the limit if it exists. (=) 3x Lim,0

A: The given limit is limx→0-3xx2

Q: Compute the following limit. Enter the exact answer. If the limit does not exist, enter NA. 2x2 – x…

A: limx-->infinity    (2x² - x - 1) / (5x² + 2x)  Here,    limx-->infinity     f(x) / g(x)  =…

Q: Calculate the limit, if it exists, 5 lim x→7 (7-x)

A: On solving this we will get

Q: Find the limit if it exists. Lim, 19 (x)

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Q: Estimate the following limit using graphs or tables. .4 2x-x - x lim 3 X1 1-x4 V2x-x-Vx 2x-X" 4 lim…

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Q: Determine the following limits at infinity. lim 3x"

A: we have to find the limit of the function limx→∞3x11

Q: 4. Assuming the limit exists, explain what ∞0 means and explain why an ∞0 limit could be anything…

A: To discuss indeterminates and limits.

Q: 4. Evaluate the limit, 1 (x + h)? lim - |

A: Using rules of limits.

Q: Find the limit. lim etan x→(3t/2)+ х

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Q: Calculate the limit algebraically. If the limit does not exist, say why. x? – 2x + 1 lim - X -1 O…

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Q: show that L’Hôpital’s Rule is applicable to the limit as x →±∞and evaluate

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Q: Evaluate the following limits. If needed, enter oo for o and -oo for o, and DNE if the limit does…

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Q: Evaluate the limit using L’Hôpital’s Rule

A: Given: limx→-42x2+13x+20x+4

Q: 3. a) Examine if the following limit exists, x+y+1 lim (x,y) (0,0) In(x2 + y²)* If the limit exist,…

A: a) let the function be fx,y=limx,y→0,0x+y+1lnx2+y2 examine if the limit exists, if it exist then…

Q: Find the limit. (- 3m=) lim In x x→0+

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.