x2 - 9 lim X-3 x→3 V – 4 x2+7

Q: x²-2xy+5y²+1 lim (x,y)→(0,0) 3x²+4y²+2

A:

Q: Vx+5-3 b) lim x→4 х-4

A:

Q: ( 6z2 – 4 r 6

A: We use the given Function and limit Find the required Value.  We Use the Left Hand Limit.  After We…

Q: x' - 4x? – 9x+36 lim b) x - x-12 x-3 e* -e* – 2x lim c) x- sin x

A: limx→-3x3-4x2-9x+36x2-x-12=limx→-3x2x-4-9x-4x2-4x+3x-12=limx→-3x2-9x-4xx-4+3x-4=limx→-3x2-32x-4x-4x+…

Q: 2. 2xy lim (x.y)-(0,0) x² + 2y6

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Q: 4 – Vx 27. lim x→16 16x – x²

A:

Q: 2x +8 1 x² – 12 x lim X→-6 x + 6

A:

Q: 3 23. lim х—3 х — 3 X→3

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Q: Q. 1. Evaluate the following -x* +3x +5x –-18 lim a) 5x2 – 2x-0.5 Vx² +15 - 4 b) lim- x-1

A: Part a,Given,          limx→∞-x4+3x3+5x-185x2-2x-0.5

Q: 3) lim (x - 1)-¹ Inx x→1

A: Our Aim is to evaluate the limit of the expression given below:-limx→1x-1-1 ln (x) -(i)

Q: x² – 9 (b) lim x→3- x + 3

A:

Q: H.W 3. lim V3X-3 X - 3 X # 3 X3

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Q: Vx+4-Vx2+x+4 7. lim x-0

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

Q: x² - 7x y +12y Evaluate lim(x,y)→(3,1) х- Зу

A: The given expression is limx,y→3,1x2-7xy+12y2x-3y

Q: x² + 2ix + 3 lim 1² +1 lim ol z) do not e

A: Using L'Hôpital's rule,

Q: 2) fle -2x 22 アー4nt6 6) lim F(x)=2 c) limfe) Xー→2t こ doesn't exist a) lim f) = 2 %3D Xーラ -2

A:

Q: Vx+5- 2 The value of lim x+1 А. 1 B. С. У D. 2/3

A:

Q: х +2 19. lim 3. x→-2 x' + 8

A: limx→-2x+2x3+8=112

Q: x² + 3x 14. lim x→4 x² - x – 12

A:

Q: |x² – 4| The value of lim Z-12 I using a table of functional values is_ 2 O 2 Does not Exit O -2 O 3

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Q: x2+4 lim x→+00 2r-

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Q: 1 lim (2 x→+∞ x3 Select the correct response: |

A:

Q: Q2) A) 1-VI+1 sinax 3) lim I+1 1) lim 2) lim

A: Given that:                       (1)limx→∞x+1x2+3 (2)limx→01-x+1x(3)limx→0sin3xx   NOTE: As per our…

Q: x² + 8x – 9 4. lim z-1 r3 – 2x2 – 5x + 6 t3 – 7t? + 16t – 12 - 5. lim t→2 t4 – 4t3 + 4t² |

A: Given: 4.limx→1x2+8x-9x3-2x2-5x+6

Q: [2g(x)- 5h(x)] If im g(x) -10 and lim h(z) = 28 then lim %3D

A:

Q: x² + 8x – 9 4. lim 1 x3 – 2x2 – 5x + 6 t3 – 7t2 + 16t – 12 5. lim t→2 t4 – 4t3 + 4t² w? – 4w + 1 6.…

A:

Q: 3x?+4x-7 ii) lim x2+9 X00

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

Q: y + 6 21. lim ソ→6+ y2- 36

A:

Q: your a ;) lim x4+メーLo メ→。 i) lim 左十 \im tメーLo X→-∞ iii) \m 4a(a+)しメー2)しメ+ム) メ→ ○

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: 8y – 24 lim y-3 2y - 6

A: Given limy→38y-242y-6

Q: 2x²-xy-y² x2-y? Evaluate lim (x.y)-(1,1) 3. 2 0 2. 20 2/2 2. 10

A: Answer

Q: Vx? +12 - 4 x²-5x +6 2x-5x +6 a- Lim cos x b- Lim c- Lim d- Lim x - 2 x'-8 3x -8 --

A: If in limit denominator and numerator forms 0 by 0 use L hospital rule

Q: x-1 11. lim x² + 3x + 4 X-1 D. 8 17

A:

Q: (x +h)² – x² lim h 3 (4+x)

A: See the details solution in below

Q: x3-8 lim = 0 %3D х-2 х4—16 FO

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: x2 2. Find lim x→0 2ª – 1

A: We want to find limit of the function.

Q: x² + y? lim (x,y)→(0,0) /x² =? + y² + 1 – 1 A. -1 В. 2

A: In this question we will use basic of calculus i.e concept of limits of two variables.  To find…

Q: 23 x – 1 (c) lim 1 x→1 3. (d) lim a3: = 8. x→2

A:

Q: 3 + 2* is 5* 28. lim 4 X -0 2 (A) 5 (B) 0 (C) (D) nonexistent -- 3/4

A: topic - limits

Q: x1メーコ| 7) tim メ3 x2-9 2\ 8) lim 2X- X-15 メマ メ)x-3|

A: 1. limx→3-xx-3x2-9 x-3=-x+3 as x→3- and x2-9=(x+3)(x-3)…

Q: x2 – 4 lim h→2 Vx – V2 /9 + h – 9 - lim h→0 h

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Q: 2.x2 2а? — Зх + 1 lim x→+ 2x/1 – x

A:

Q: 4x? — 25х + 25 (a) lim x→5 x² – 8x + 15 | Vx + 22 – 5 (b) lim x→3 x – 3 -

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: 2x?-クyーツ lim メーフ4 x2-メ~12

A:

Q: 3i - lim t-25 (t – 20)2

A: We substitute t=25 in the given expression

Q: x²+9x+20 1. lim x→-4 x²-16 I|

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Q: Vx +1 – 2 lim x→3 x – 3

A: This question is based on Limits.

Q: 9x2-7x+6 lim I 10z z+10 Evaluate: %3D

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: