Determine the limit, if it exists. lim 5 (x -7) X→3

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 3x2 - lim - x- 4 X-1 x + 1

A: Given limit is 0/0 form therefore by using L'Hospital's law we get

Q: Use tables to determine if x²+x-12 exists. If it exists state the value of the limit. lim x→+3 x-3

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter D lim (3 + h)-1 - 3-1 h h-0

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Q: Evaluate the limit, if it exists. t2 -9 a) lim;→-3 2t2+7t+3

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: Find the limit (if it exist).

A: Given,

Q: Find the limit, if it exists.

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Q: Find the limit, if it exists: X lim X+- 0 x² + 1 ,2

A: We factor out x2 from inside the square root. Then |x| comes out of the square root. Note that: x/…

Q: Evaluate the limit, if it exists. ( 6. lim t-0\ 을) tV1+t

A: We have to evaluate the limit: limt→09t1+t-9t Since it is ∞-∞ so simplifying  the limit, Taking 9…

Q: Find the limit if it exists. a. lim -) x→-00 5x3+1 b. lim х-0о 10х3-Зx2+7 5x2+2 С. lim x→∞ Vx2+3

A: Limits of function can be found by simplifying the function and substituting values for x as given…

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

A: Given data:   *The function f(x) is f(x)=x+2/2, when x<3. *The function f(x) is f(x)=12-2x/3,…

Q: Find the number a such that the limit exists. lim3x ax a 9 x 2 x2x 2 X a = Find the value of the…

A: Observe that the value of x2+x-2 tends to zero as  x tends to ‒2 and so the limit of the given…

Q: The value of the limit Vx-イーイ lim メ→ 2 メ-2

A: Given,  limx→2x-1 -1x-2  We have to find the limit.

Q: 7. Find the limit, if it exist x² +2 a. lim xV9 - x? C. im b. lim * x-1

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Q: Evaluate the limit. lim     e2/(x-3)x  →3-

A: To evaluate the limit   limx→3-e2x-3

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

A: Given:            limx→16x-4x-16 Simplify: x-4x-16 x-16 : x 2-42 Apply; a2-b2=a+ba-b…

Q: stimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞  4x8…

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Q: find the limit or explain why it does not exist.

A: Given, To evaluate,limx→0(x+h)2-x2h

Q: find the limit of lim (e)* X->00

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Q: lim x² +3

A: Explained below

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

A: To find the limit at first divide numerator and denominator by x (or take x common from numerator…

Q: Q:2 Find the limit, if it exists. If the limit does not exist, explain why. 2 - |x| lim x-2 2+x

A: First of all substitute the value of the limit in the given equation that is -2 in place of x.…

Q: Find the limit, if it exists.

A: Given: Let y=limx→-∞2xx6-113 To Find: To evaluate the given limit.

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

A: Given: limx→52x2-9x-5x2-25

Q: ■ Find the limit.

A: Given: limx→∞ x2 - x4   To find: Value of the limit.

Q: Evaluate the limit, if it exists. lim –x3 h (x + h)³ h-0

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Q: x? + x lim x' + 2x* + x³

A: We have to find  limx→0 x2 + xx5 + 2x4 + x3.

Q: Evaluate the limit, if it exists.

A: We have to evaluate the limit: limx→164-x16x-x2 It is 00 form, since there is square root function…

Q: Find the limit. (If the limit is infinite, enter 'oo' or '-co', as appropriate. If the limit does…

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Q: x" -1 :? x+1Vx -1 For a positive number nEN, what is the value of the limit lim-

A: On substituting x=1 in limx→1 xn-1x-1 tends to 00 (Indeterminate) form So upon applying L-Hospital…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→10+ 10 − x x2 − 100

A: To Find: limx→10+10-xx2-100 Concept: i. limx→a+fx=limh→0fa+hii. x2-a2=x-ax+a

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim - 8x + 15 x- 3 x-3

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Q: b) Find the limit, if it exists, or show that the limit does not exist. 3x4 - 3y4 lim (x,y) (0,0)…

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Q: Can i get help with this problem step by step

A: Recall the following facts.

Q: Evaluate the limit, if it exists: x²-9 lim *-3 X+ 3 does not exist -6 1

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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: Find the limit, if it exists.

A: It is given that, limx→∞xx2+1We have to find the limit,if it exists.

Q: Evaluate the limit x2 + 3x – 18 lim x-3 x - 3 Enter I for o, -I for -o, and DNE if the limit does…

A: We find limit of given rational function

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 3 +…

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Q: Find the limit, if it exists.

A: Given expression is,

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: Evaluate the limit, if it exists. (If 1 2 lim (x + h) h-0 h

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Q: x2 + x – 6 lim х — 2

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Q: Find the limit lim x3 e-x2 X→00

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Q: Find the limit, if it exists

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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: Find the limit if it exists. x²+5x+6 Lim,→-3 a+3

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Q: find the limit, if they exist.lim x->a (x^2+x-6)/x+2

A: Here, two cases arises, if a=-2 ,then denominator of function is zero and limit does not existIf a…

Q: х —х-2 15. lim x→2 x² -4

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Q: Evaluate the limit, if it exists.

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Q: find the limit or explain why it does not exist

A: find the limit or explain why it does not exist.      limx→ax2-a2x4-a4