23 - Vx - 47 Find lim x+ 24 X→-24

Q: 5. Evaluate lim sin(x)-(x² +3x– e*). 1-0

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Q: 1. Let f(x) = 3² – 2x + 1. Compute lim (x)f – (4 + x)f 0+-4

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Q: Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

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Q: 1 1. lim In (x- 2) x-3 X-3+

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Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

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Q: lim In(r) - 0t

A: Consider the given limit

Q: x4-16y+ lim (x,y)¬(2,1) x²–4y2

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Q: 32. lim x + x - 2 x2 - 1 2,

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Q: Find the limits in Exercise

A: The limit x→a+ implies x  approaches a from the right. The limit x→a- implies x  approaches a from…

Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

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Q: 10. lim( +1-V +1-)

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Q: 2x+1 if x < 2 Let f(x) = x²-1 if x ≥2 Determine the one-sided limit lim f(x). x 2+

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Q: Show that lim→0 x2cos(1/x^2) = 0

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Q: *+1 Find lim H00 3x - 4x +5 if it exists. Find lim(1 + r), if it exists. X-4

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Q: -7; x<-3 { (x + 2)3 – 6; (x- 2)2 – 5; f (x) = -3 < x < 0 %3D x 2 0 1. lim f(x) = X→-3+ 2. lim f(x)…

A: Given: f(x) :  -7  ;  x ≤ -3 (x+2)3 - 6 ;  -3 &lt; x &lt; 0 ( x -2)2 - 5 ;  x ≥ 0

Q: _11. If lim (x² +1) = 2, and x = 2.5, then x->-1 lim (x² + 1) is equal to. x-2.5 A. 5.25 C. 6.25 B.…

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Q: (금 1 Evaluate L = lim T→2 + x² – 5x + 6 -

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Q: 1-coskx 2. lim = 0. kx

A: We have to find the limit of the function (1-coskx)/kx when x tends to 0 .

Q: 1. Let f(x) = lim 1-0 7x3 + 3x² °

A: The given function is: f(x)=limx→0x27x3+3x2

Q: 1+t-V1-t lim

A: To evaluate: limt→01+t-1-tt   if we substitute t=0, we get 00 (indeterminate form)   Consider…

Q: Find Lim-0.0 (r² + y²) In(x² +y²) '(xy)(0,0)

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Q: 16. Evaluate using L'Hospital's Rule. x3-216 a. lim X-6 (In x) b. lim 4x2

A: Given, Part a: limx→6x3-216x-6 If we put x=6 we get an indeterminate form, Therefore by using the…

Q: -f(x): a. lim

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…

Q: 37. Find lim f(x) if, for all x, -4x+6 < f(x) < x²-2x+7. x→-1

A: As question number 37 is highlighted solving that only.

Q: 3p(x) If p(x)%3х2+2х-З and q(x) -x3- 1, then lim- x+1 q(x)

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Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

Q: 2n j3 lim - 24n n00 j=1

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Q: 27+x- 5 Compute lim II-2 x+2

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Q: Prove the limit doesn't exist

A: cc

Q: Q.1: Evaluate Vx+25 -5 х2-10х (1) lim (2) lim x-12 Vx+4 x (х+3) 2x2+3 x2-25 (3) lim (4) lim X-5 x-5…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1/x, if x – 1 С. 1/x, if x – 1[ %3D X- -1

A: c) f(x) = 1/xx≤-1x2-2x&gt;-1limx→0f(x) = limx→0(x2-2) = 02-2 = 0-2 = -2

Q: 2t – 1 Evaluate lim,, tan-1, e> - t - 1

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Q: eim 2メー5 メ4 -2 z lim Vx+4-1-x-2 メ→ メ+3 lim 2-X Z-メ 24メ

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: 1 11. lim -1- |x +1 (x+ 1)2 + 3]

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Q: x2-x-2 2x-4 2sin(6x–12) 3(x-2) Sx-1 Let f(x)* ,g(x) • and h(x) Vz+2+1 a. Find lim f(x), lim g(x),…

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Q: (220_ 3.x)– (e20_3e) lim -3x is x-e

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Q: 1) a) Evaluate the limit. 1 1 lim 3 x x+3 x-3

A: Introduction: The limit of a function is the base of differential calculus. When the independent…

Q: 1 1 11. lim -1-T+1 (x+1)² + 3]

A: Given limx→1-1x+1-1x+12+3 we need to evaluate the limit Substituting x as 1 11+1-11+12+3

Q: 1 lim - 1)dt x→1|1 [1 – x

A: We have to find the limit of the complex expression involving integration . first we have to find…

Q: x² +1 if x -1

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Q: x2 - 16 - if x>0 x + 4 2) Let f(x) = %3D x2 - 16 - if x<0 X- 4 Find lim f(x). x-0-

A: First I have written the definition of left hand limit , just use this definition for given function…

Q: -1 lim,→-1 f(x) = O -1 O 2 -2 O Does not exist

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Q: 3. Find lim (1 – 2x)/x x -0

A: Explanation of the solution is given below.

Q: Q.No 3.) if x<-1 Let f(x)={ax+ B if -13x<1 x² +2 if x21 Find a and B, so that lim f(x) and lim f…

A: Given that, Consider, limx→-1-f(x) = limx→-1- x3 = (-1)3 = -1 limx→-1+f(x) = limx→-1+ (αx+β)=…

Q: 3. Prove lim 3x-7= 2 X-3

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Q: 2* – 1 x→0 V1 +x – 1 lim Evaluate

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Q: 2. Compute lim x" (1 + x)* – e). 1/x x→0

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Q: x²+x5-2y lim (xy)-(3,9) %3D x-

A: Given limit lim(x,y)→(3,9)x2+xy-2yx-y