Use direct substitution to obtain an undefined expression. Then, use the method of evaluating a limit of the form K/0, K + 0 to simplify the function to help determine the limit. 2x2 - 7x - 4 lim x-1+ x2 + x – 2

Q: evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or…

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Q: x + 2 x 3 3

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) x² + lim X→-5- 2…

A: Given limit limx→-5-x2+2x+5 The objective is to find the one-sided limit.

Q: Find the limit |r+2| lim,-2-(x + 5) 2 x+2

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 - 5x lim x5 x2- 4x -…

A: Given : limx→5x2-5xx2-4x-5

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 9 - 5 lim X→-4 x +…

A: As it is 0/0 form so use L. Hopital's Rule. In this rule we take derivative of numerator and…

Q: Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 x² – 8x + 15 x -…

A: limx->6x2-8x+15x-6 When x is replaced by 6 the denominator becomes 0 So its not possible to plug…

Q: Find the limit (if it exists). If it does not exist, explain why.

A: lim∆x→0+x+∆x2+x+∆x-x2+x∆x

Q: Reduce the expression and then evaluate the limit. x2 – 1 lim x-1 x3 - 1

A: Factorise the both polynomials and cut the common factor the put x=1

Q: Evaluate the limit, if it exists Vx² + 9 – 5 30. lim x→-4 x + 4

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. I V x + 3x2 7x - 1 lim

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

A: To find     lim x→∞ (2x+5/7x-1)

Q: Find the limits. Write ∞ or -∞ where appropriate. lim x2 - 3x + 2 / x3 - 2x2 as What, if anything,…

A: We factor the numerator and denominator then (x-2) cancels

Q: Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter…

A: Given that: limx→∞8x2-53x2+x-3

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→4-x-2x-4

Q: 3) lim X -3x2 + 8x – 2 6x2 + 5 A) - B) 0 D) =

A: This question can be solved using the concept of indeterminate form and L Hospital's Rule.

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (5x - 7) X→-6

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 9 - 5 lim X-4 x + 4

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

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Q: Find the form of the following limit and evaluate it. Vx +3 – V5 lim X+2- X - 2

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Q: Decide whether the limits exist. If a limit exists, find its value.

A: Limit exists at a point if both left-handed and right-handed limits exist and are equal.…

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: Evaluate the limit using the appropriate properties of limits. (If the limit is infinite, enter '0'…

A: Find the limit of the function (8x2-5)/(3x2+x-3) when x tends to ♾️

Q: Evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or…

A: The limit of a function at a point is equal to the value of the function when the value of the…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 lim 3x 40 x5 x 6x5

A: Factor numerator and denominator first.

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter…

A: Given query is to find the limit ofnthe expression.

Q: Evaluate the limit, if it exists.

A: Our Aim is to evaluate the limit of the function given below:-limx→-1 2x2+3x+1x2-2x-3-(i)

Q: Evaluate the limit, if it exists. 2 - x² – 16 lim X-4 x – 4

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Q: Find the limit L. Then use the ɛ-8 definition to prove that the limit is L. lim (x + 7) L =

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Q: 4x + 12 lim 2 x 3 x²9

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Q: Find the limit, if it exists. If the limit does not exist,explain why.

A: Given information: limx→ 0.5-2x-12x3-x2

Q: Decide whether the limit exists. If it exists, find its value. fx) 3+ 2+ -2 -1 3 X -1+ -2- 1) lim…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 – 10x + 24 lim

A: Given:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 - (8 - 1—² x )…

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

A: topic  - limits

Q: Find the limit (if it exists). If it does not exist, explain why.

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Q: Find the limit or show it does not exist. 1- x2 х3 — х +1 16. lim -

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Q: Find the limit, if it exists. X- 3 8) Find: lim x-3 x2-3x

A: finding the limit of function when x tends to 3.

Q: Evaluate the limit if it exists. Use proper notation. 3 3-N 9 9x-x2 (b) lim a e«

A: Given: a) limx→93-x9x-x2b)limx→∞x3e-x2

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: Let L is the value of given Limit.

Q: x² – 1 lim x→1 /x – 1

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Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why. |x - 2| a.…

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Q: V1 + 4x6 2 - x lim X -00 3.

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