Find the limit, if it exists. [x2 – 16 :- 16 if x>0 Let f(x) = x - 16 x- 4 if x<0 Find lim f(x) x-0+ 4 -4 Does not exist

Q: Vx+1 - 3 4. Find the limit (if it exists). lim %3D X-8

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Q: 2n3 +1 1 Prove, using definition of limit, that lim 4n3 – n 2 n-00 -

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Q: See pencil for correction of problem

A: First we simplify the expression (x2-2x-8)/(x+2)=(x2-4x+2x-8)/(x+2)…

Q: Find the limit, if it exists.

A: limx→-∞x4-1x3-1=-limx→-∞x4-11-x3 We have limx→-∞x4-1=∞limx→-∞ 1-x3=∞ So by  L'Hospital's Rule, we…

Q: 1) Find the Limit lim/→0 3x²h-7th+h h

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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: Find the limit, if it exists. x2 - 36 lim X6 X-6 O12 ) 1 Does not exist 6. OOOO

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Q: Is there a real number a such that 3r + ar + a+3 lim --2 r+x + 2 exists? If so, find the value of a…

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Q: find the limit of g(x) as x approaches the indicated value.

A: the given expression is: limx→51x+g(x)=2

Q: 9) Find the limit, if it exists, or show that the limit does not exist: lim (x,y)→(0,0) xª + 3y4

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Q: 1. Find the following limits mathematically. If the limit does not exist, state why. x* - 4x -12 a.…

A: When applying the limits to an expression and if we get a 00 form then use l'Hopitals rule to find…

Q: Find the limit or show that it does not exist. V1+4x (1) lim x-o 2-x3 (2) lim (V9x2 – 5x+3x

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Q: Find the limit, if it exists

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Q: Evaluate the limit x2 – 2x – 15 lim I - 5 Enter I for oo, -I for-oo, and DNE if the limit does not…

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Q: Consider the following. x² -1 ifx # 0 if x = 0 f(x) y -2 2 -2 Use the graph to find the limit below…

A: given function is                                      given graph is…

Q: 5. Evaluate the limit: Vx +1 lim x→1 4x -4

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

Q: If x4 &lt;=ƒ(x)&lt;= x2 for x in [-1, 1] and x2&lt;=ƒ(x) &lt;= x4 for x &lt;-1 and x&gt; 1, at what…

A: Summarizing the given information:             . We need to find out that at what points c, we…

Q: Find limit of lim メ-T(x*1) X-1 X-1 O a, 0 Ob. 1 00 d. None of these

A: Given the function limx→1xx−1   (x≠1)∵x≠1

Q: Determine the limit algebraically, if it exists x3 + 12x2 – 5x lim 5x O -1 O 5 DNE

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Q: Find the limit, if it exists. (I |x + 2| lim x--2 5x + 10

A: Given, The limit limx→-2x+25x+10  We have to find the limit.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→3 f(x), where f(x) =…

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Q: Find the indicated limit if exists. lim x2 - 9 x→3 x - 3 O 3 O The limit fails to exist. 6

A: Ist solve then apply limit

Q: 4. The graph of a function f(x) is shown at right. If g(x) = V1+ 3x , find lim [f(x) + 3 g(x)]. %3D…

A: The graph of the function fx is given. From that graph it is clear that, the function fx, at x=1…

Q: Consider the following. x² - 2 if x # -1 if x = -1 f(x) = %3D y -2 -1 1 2 Use the graph to find the…

A: The given function is f(x)=x2-2    if x≠-1-3        if x=-1. Graphically: From the graph, it can be…

Q: 1. Find the limit. 1-x2 (a) lim VIA +1

A: we have limx→∞1-x2x4+1this is ∞∞(indeterminate form)

Q: Find the limit, if it exists. Vx² – 5 lim - 5 7x – 1

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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: Q1:- Find the limit for each of the following functions if is exist ? 1) lim|x – 3| x-3 sx + 2 ,…

A: We find limit of given function

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: 196-z Given that f(x) VI-14' find lim f(x). (If the limit does not exist, enter DNE.) 2+196 Provide…

A: We have to find the limit.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 - 4x + 18, l-x2 + 4x -…

A: Detailed explanation mentioned below

Q: Evaluate the limit V9n4 + 13n³ – 5n – 10 lim -V25n16 + 5n² – 9n Also, find the asymptotic value of…

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→−7  x2…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.)  lim Δx→0+…

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Q: Find the maximum value of 8 > 0 that satisfies the limit claim corresponding to ɛ = 0.1, that is,…

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Q: 1. Find the limit, if it exists.If the limit does not exist, explain why. (a) lim √√²+1²+1+3z² z²+1…

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Q: Q1 find the limit x' -1 lim x –1

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Q: Find the limit. -重班 4x + 4 x² + 2x lim x-2+ Does not exist 4 O- 1

A: Find the limit

Q: What result do you obtain when you evaluate the limit (RHL and LHL) of the limit of (x^2-16)/(x-4)…

A: Given f(x)=x2-16x-4 LHL=limx→4-f(x) and RHL=limx→4+f(x) Here if LHL = RHL, then limit exists.

Q: Evaluate the limit, if it exists.

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Q: Evaluate the limit. x3 + x² + 9x + 5 lim 4 - 7x? 2 -00 Enter INF for o, -INF for -oo, or DNE if the…

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Q: Q1: Find the limit of the following х-2 2x2+1 tan nx 1) lim- 2) lim x-0 (2-x)(2+x) 3) lim x-2 x²-4

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1 11 lim X- 1 x2 + 9x – 10 Give your answer in exact form. If the limit does not exist, enter DNE.

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Q: 2. Evaluate the limits numerically. x-1 a) lim x-1 vx+3-2 x² +3x+2 b) lim x--1 x2-x-2 cos(x)-1 c)…

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

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Q: X- 2 a lim " +x-6 T0 – x - 4 sin 2x b. lim c. lim x+ 6

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Q: Can anyone solve this question please ? Many Thanks

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Q: # 11. The lim,→-4 x²+ cx+c+5 x² + 5x+4 exists. What is the value of “c“? What is the value of the…

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Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 16 lim…

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