x²+6x+9 4. lim X--3 x+3

Q: lim, x2+5x-14 x+2

A:

Q: x²-x-6 - lim x→-2 x+2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: LL im (x-2x+1) X→-1 2. Lim X'+3 X²-5 3-Lim Yx3X+6 X→-2

A: The limit of a function (expression ) is a value of that function (expression ) approaches as the…

Q: -4 lim x2 2-x-2

A: option (d) is correct

Q: 2-JA+3 「メャ 2) Lm x2x-3 3) Lim (X+4)-16

A: →When limit is of the form 00 or ∞∞ , then L' Hospital rule is used. In L'Hospital rule,     take…

Q: 3x? – 17x + 20 lim 44x2 - 25x + 36 Vx+5-2 lim x+1 Vx2 + 3 - 2 lim --1 x2 - 1

A:

Q: 4x5+x³ -10 -? lim х-0о —7х5+x2+20 .3

A: Given: limx→∞4x5+x3-10-7x5+x2+20

Q: Find x²-x-12 lim x--3 x2 + 8x + 15

A: We have to find limit of given function

Q: x² – 21x + 54 - lim x → 3 х — 3 - II

A: x2-21x+54=x2-18x-3x+54=x(x-18)-3(x-18)=(x-18)(x-3)

Q: x²+2x-15 lim X-5 |x+5|

A:

Q: 5x - lim X-00 Vx2+4

A:

Q: 2 --6 2. lim r-2 x2-2

A:

Q: 31. lim (x2- 1) 3 -2

A: Given

Q: 1) lim (2x² + x + 4) x--1

A: Given limit, limx→-12x2+x+4

Q: lim x---4, x - 4/x2 - 8x + 16

A: limx→4x-4x2-8x+16

Q: Q7 a) (-) lim x-0 b) (₂) 2 lim 48 3r

A:

Q: |2x+4| lim x->-2+ √x+2

A:

Q: 2-8x+16) Q5/B: Evaluate lim x-4 \ x2-5x+4

A:

Q: x+5 -lim x-5 r²+25,

A: Given limit, limx→5x+5x2+25

Q: 10x2 + 11xy + lim --1,10) 10х2 — 39ху -

A:

Q: Vx2-7х+16-у6 2. lim X→5 (х-5)/x+1

A:

Q: lim (2x-5x) is x--2

A:

Q: V5x+4-3 3) lim X-1 x-1

A:

Q: lim V4x + 8 X--2*

A:

Q: x?+х -6 lim -2х *32 x2 -х — 2 — х

A:

Q: 1– x2 lim r--00 3 + 2x – x3

A:

Q: (込) 6. (d) lim x→3x-3 x² -9

A: Find the limit . Of [1/(x-3) -6/(x2-9)] when x tends to 3

Q: 'Зx2 + 8х + 4) lim п--2 х2 + 3x + 2

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

Q: x3-3x+2 lim-1 (x-1)2 12 15 18 O 3 6.

A:

Q: x2 + 5x + 6 14) lim X--00 X х3.7x2 + 17

A:

Q: x² + 7x- 18 lim 6- 1 -69

A: Given

Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: の O Find Lim 2-X X +2 メー→2 2- 2X

A: Since you have posted multiple questions we will answer first for you or if you want any specific…

Q: 2.x 2x + 4 lim X→+00 2x + 5 ||

A: Given:    limx→+∞ 2x+4 2x+52x

Q: )-() lim 2z- 1422–1|

A: We have to solve

Q: 19. lim x→2- x² – 4 eas y + 6 21. lim y→6+ y2 – 36 -

A: Given that limx→2- xx2-4 limx→6+y+6y2-36

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 12x + 27 - lim x → 9 x – 9 -

A: limx→9x2-12x+27x-9

Q: 2. lim. (2y² + y+ 4) ソ→-1

A: Given: limy→-1(2y2+y+4)

Q: 4r-r lim 4 2-

A: We have to find limit

Q: -4 X+X- 6x-5 lim

A:

Q: 2x?-クyーツ lim メーフ4 x2-メ~12

A:

Q: ruente x2-2 Зх-7 x+1 lim 3x-5 ||

A:

Q: Find x2 +2x 3\ lim X→-3 x2 + x -6

A: We have to find the limit: limx→-3x2+2x-3x2+x-6 Since it is 00 indeterminate form so making it…

Q: b) lim x²-25 X-4 X+5

A:

Q: -4 lim x2 1- COSTX

A: