x +1 Evaluate the given limit of lim if it exists. x→-1 x4 – 1 limit does not exist -1

Q: (a) Use a graph of 5 + x - V5 - V5 f(x) : %D to estimate the value of lim f(x) to two decimal…

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Q: 15x 3x Evaluate the limit: lim (15x+4)

A: We have to evaluate, y=limx→∞15x15x+43x

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Q: Consider the limits. lim f(x) = 4 x-7 lim g(x) = -14 x-7 Evaluate the limit using the limit law for…

A: limx→7fx=4limx→7gx=-14To find:limx→73fx+xgx+1

Q: V1 +x - 1 Find the limit lim x-0 if it exists.

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Q: Evaluate the limit 1 8 lim 4 x2 – 42 Enter I for o, -I for -oo, and DNE if the limit does not exist.…

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Q: x +1 Evaluate the given limit of lim if it exists. 2→-1 x4 – 1 O limit does not exist 4 O -1

A: We have to find the limit

Q: x + 5x- 6 Estimate lim X+6 X-6 60 -7 Limit does not exist.

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Q: x2-4 lim %3D 3. Find the limit (if it exists). X2 x-2

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Q: How do you solve question 7 and 8?

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Q: 2x - ax -14 (b) Find the value of a such that lim- exists. Hence, determine the - x-2x-3 value of…

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Q: x2 + x -6 2. Use the precise definition of a limit to prove lim2 x - 2

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Q: 2. Find the limit 2 - 3" lim →∞ 3+ 4

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Q: (2 - x - x2 if a 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: Given : fx=2-x-x2  if x≤22x-9       if x>2 To calculate: limx→2-fx limx→2+fx limx→2fx

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A: We need to evaluate the following limit limx→164-xx-16

Q: -4 Determine the limit: lim -i (и — 1)2

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Q: lim 11xei - 11x X00 Enter -inf if your answer is -0, enter inf if your answer is o, and enter DNE if…

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Q: 22 - 3x – 10 Evaluate the limit: lim 4x + 8 Z-2

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Q: x*-4y2 Find lim (x,y)¬(0,0) x2+2y2 if it exists, or show that the limit does not exist.

A: The given limit limx,y→0,0x2-4y2x2+2y2

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A: Given, limx→5x2 -253x-15   We have to find the limit

Q: Please evaluate the limit.

A: Given,

Q: (a) lim 47:17 Sx 3x-14 1. Find the limit:

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Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: 2. The limit lim 10х — 2 -

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Q: V-3 – x + 2 if x - 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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Q: 1. Evaluate the limit if it exists: lim x2+x-6 x> 2 2х а. 5 с. -3 lim v(x-5)-2 b. 3 d. -5 e. DNE 2.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (2 - a - a2 if a 3 Calculate the following limits. Enter "DNE" if the limit does not exist. - lim…

A: Find right hand limit and left hand limit, then check these are equal or not.

Q: f(-4 + h) – f(-4) lim h-0 h where f(x) = 3x² +2. If the limit does not exist enter DNE.

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Q: (x – 2)(x + 1) if x 2 Calculate the limit lim f(x). If the limit does not exist then give a x→2…

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Q: Find the specified limit. x',x -1 lim f(x) - ? 2. Find the limit (if any) Jx-5 lim x-25 x- 25

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Q: Find the constant c so that the limit limx->3 (x2+x+c)/(x2-5x+6) exists.

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Q: 2x 3x Evaluate the given limit of lim + if it exists. I – 1 I +1

A: Follow the procedure given below.

Q: 2-x x² if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

A: we will find the limit.

Q: 2x2 ) 3x Evaluate the given limit of lim if it exists. 1 x +1 O 1 O limit does not exist 2

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Q: 18 -a+1 Find the limit lim a9 2x2+3x-1

A: Given, limx→918x2-x+12x2+3x-1   To evaluate limit

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A: using  a2-b2 = (a-b)(a+b)

Q: Find the given limit. Vx+11 + 11 lim x²-11 X-11+ Select the correct choice below and, if necessary,…

A: Consider the given limit limx→-11+x+11+11x2-11. It can be noted that the polynomial in the…

Q: find the limit if it exists if it does not exist explain why. If: x² +x - 6 |x-2| g(x)%3D a) Find:…

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Q: x² +1 Evaluate the limit of limx ( - ax – b) = 0 - x+1

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Q: |x-3| 3. Show why the following limit does not exist: lim3 3-х

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Q: V5x+6-4 1. Use L'Hopital's rule to evaluate the limit: lim- x-2

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Q: Using: limx→4f(x)=7limx→4f(x)=7 and limx→4g(x)=4limx→4g(x)=4, evaluate…

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Q: 1. (a) Evaluate the limit or state that it does not exist: i. lim 32-1 37-1 ii. lim V1+r-VI-x (b)…

A: The limits are required to be solved. Each part is solved in detail below.

Q: x3-1 Use L'Hôpital's Rule to find the limit: lim x-1 4x3-x-3

A: L'Hopital's Rule- If given to evaluate limx→afxgx and if limx→afx=0 and limx→agx=0 or limx→afx=±∞…

Q: x³ – x+y-x²y Evaluate the limit lim (x,y)→(0,0) X-y ->

A: Evaluate the limit:

Q: Consider the limits. lim f(x) = 4 x-7 %3D lim g(x) = -18 Evaluate the limit using the limit law for…

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Q: 4-x lim x→4 5- Vx2+9 a) Evaluate the limit

A: When we get indeterminate form , we use L'Hospital rule i.e. differentiating numerator and…

Q: (x – 2)(x+ 1) | if x 2 Calculate the limit lim f(x). If the limit does not exist then give a x→2…

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