x² - 5x – 24 lim Calculate the limit: x-3 x+3

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

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

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

A:

Q: Evaluate the limit x2 + 20x + 100 lim I→ – 10 x + 10

A: Solution:-      Step:I      Evaluate the limit.       limx→-10          x2+20x+100x+10

Q: 3] [4M] Determine whether the limit exists. If so, find its value: Зху a) lim (x.y)-(0,0) 4x2 + 3y2

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Q: Find the limit lim x-2

A: Explanation and solutions is given below....

Q: Vx+15 -2 is The value of the limit lim X+-11 x+11

A:

Q: Find the limits lim (V² + 3 + x) X -00

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Q: Vx+14-4 Find the value of the limit, lim- x-2 x-2

A: SOLUTION-

Q: x' - 2x Find the limit. lim 3x +5x-8

A: Given limit, limx→-∞x3-2x3x2+5x-8

Q: 2x² + 5x – 3 - 3 Find the limit lim X+ - 3 X + 3

A:

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 or explain why it does not exist

A:

Q: Find the limits 4 lim x-0 x²/5

A: We know that, limx→0ax=∞; a is any of positive constant

Q: Evaluate: lim Vx² + 4ax - Vx² +4bx) X+ 00 (a – b) O a - b 2(а - b) limit does not exist

A:

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: Find the limit. lim (x, y) -(1,-10) y#-10 y+10 x2y + 6y + 10x2+60

A: Given limit, lim(x,y)→(1,-10)y+10x2y+6y+10x2+60

Q: 5h+4-2 Find the limit of : limħ=o

A:

Q: 5.) Find the limit. When necessary, state that the limit does not exist. x² + 3x-18 lim Xx-3 x-9

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Q: r+ 2 Calculate the limit lim 1-2 x2 – 3x – 10°

A: By using L'hopital's rule, we find the limit of the function.

Q: Find the limit. lim x→3 1−x2/(x-3)2

A: Given, The limit limx→3 1-x2x-32  We have to find the limit.

Q: Find the one-sided limit

A: We need to find right hand limit, limx→0+6-1x3

Q: 3. Evaluate the limit: x² – 3x + 2 lim X-1 x + 1

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Q: Find the limit analytically. +r-6 1. ) =-6x +8 Find a lim (x) b. lim Jim fx) d C. lim, f(x)

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Q: Q2: Find the limit x + 3 lim x→-3 x2 + 4x + 3

A: We have to find limit

Q: 2 – 5x – 14 Evaluate the limit: lim - - x - 2 x + 2

A: Topic:- Limits Answer =  -9

Q: 2. Find the limit L. lim (x+4r) L-12 b. L-4 CL-1 dL-4 none of the ab0ve

A: Given limx→-2(x2+4x)

Q: x2 – 3x 4 - - Evaluate the limit: lim x → - 1 5х + 5

A:

Q: find the limit or explain why it does not exist. (x + h)? – x² lim

A:

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x² - - 81…

A:

Q: Find the limit L. Vx - 3 1 lim X 4 X- 4 L =

A: After the substitution of limits the function gives an indeterminate form 00.

Q: d the limit lim X-3 x-2-1 x-3

A:

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. 6et - 6 v1 + t - 1 | lim t-0 t 1 + t Lol +

A: To find ,limt→0 6et-6t, 1+t-1t, 51+t

Q: Vx+15 - 2 is The value of the limit lim x--11 x+11

A:

Q: 1.) Determine the limit: a) lim vx2 + 14x + 49 x-5 b) lim (x² – 4x)³ x-1

A: Solution:To solve 1a and b1.(a)limx→5x2+14x+49(b)limx→1x2-4x3

Q: Evaluate the limit. lim I-+0 V1+ 9x – 1

A: To evaluate:  limx→0x1+9x-1 if we substitute x=0 in the limit we get x1+9x-1=01+0-1=00    undefined…

Q: 4. lim Vx+3–2 x→1 x-1 5. lim et –e2x 1-er

A:

Q: Evaluate the limit. V x2 + 3 lim 3x² + 1 x- 00

A: Given: - The equation is, limx→∞x2+33x2+1 To Evaluate: - The limit of the given equation,

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

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Q: Q1 find the limit x' -1 lim x –1

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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. 421 (a) lim 7+ 17 (b) lim x-0 X 3

A: Topic = Limits

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: x2 + 8x + 12 Evaluate the limit: lim x→ - 6 x + 6

A:

Q: Q1. Find each limit, if it exists. x2 – 16 (i) lim 54 (ii) lim- x-4 X4 X – 4

A:

Q: Q1: b: Evaluate the limit: (1) lim-11 17-1 x-1 -2x-4 (2) lim,--23+2x² sin(x-3) (3) lim,-3²-9

A:

Q: Evaluate the limit. (4+x)-16 lim 0. 0. 8. 0. -16

A: a2-b2=(a-b) (a+b)

Q: Evaluate VI-5z3+4 lim 8x2 +6 Enter I for oo, 4 for-oo, and DNE if the limit does not exist. Limit =

A: Given query is to find the value of the limit.

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

A: