x2-2x4メ4x Lim (X-1)²+ y2 2 2 .

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

A:

Q: Find the limits by rewriting the fractions first.

A:

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

A: Given: limx→∞4x5+x3-10-7x5+x2+20

Q: lim Vx -2 X-04 X-4

A: we use in this question rationalization.

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: I+3 lim z-3 + x- 6

A:

Q: 4x- x2 5. lim 42-Vx x2 +12 - 4 |6.lim- x- 2 Final Final Answer. Answer:

A: Given:            limx→44x-x22-x Rationalize denominator           =4x-x22-x×2+x2+x=x4-x2+x4-x=x2+x…

Q: 4x2 lim (a,y)(0,0) 4x2 + 4y?

A:

Q: V1+ 4x6 lim t→-o 2 – x³

A:

Q: -y² \2 Find lim(æ,9)–(0,0) ( )- 2

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Find the limit.

A: Evaluate: limx→-1 -2x3-x+5

Q: Vx+11-4 (b) lim- x- 5 X-5

A:

Q: x2 +2x-3 lim x -3 5x +15

A: A function is said to have limit L at 'a' if all value of f(x)  approaches the real number L as the…

Q: y3 + 8 lim -2 y+2 II

A: To find:limy→- 2y3+8y+2

Q: 3x2 (b) lim х30 х+1-ех

A:

Q: y? a), lim (xy)-(00) x²+y²

A:

Q: Va²+9-5 Evaluate lim > 4 %3D x+4

A:

Q: -x2 – 2x – 4 Calculate lim x o x2 +x - 20

A: Given:  limx→∞-x2-2x-4x2+x-20

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

A:

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

A:

Q: x2 - 2x lim r73 x + 1

A: Given, Findlimx → 3 x2-2xx+1

Q: If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal?

A: Given limx→02fx-15=45 Find limx→0fx

Q: Vx2-7х+16-у6 2. lim X→5 (х-5)/x+1

A:

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

A:

Q: (2x+1)²-5 lim =? х-0о 2х2+х-1 30 -1

A:

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

A:

Q: 2x² + x – 1t lim x→-1 x + 1

A:

Q: x² + 7x- 18 lim 6- 1 -69

A: Given

Q: (a) lim5x= x2 (b) lim5x(2x+3)= x→2 (c) lim(x* - 4x+1)=

A: As there are multiple sub parts, (a),(b) and (c) are solved here.

Q: Find the limit

A: a. Given limit is Since the function is defined at x=0, so we directly substitute the value of x to…

Q: (а) 5x-3 – 4 (i) Lim X00 2x-2 + 9 (х - 3)2 (ii) Lim- X0 x2 7- 2x - 3

A: Here, solving only two subparts of Question number 4 and for the remaining post the question again.…

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-x-6 2) FIND limx-→3 x2-5x+6"

A: We will solve the problem

Q: Vz - 3 lim z-3 z2- 9

A: We know,  limx→af(x)=f(a) a2-b2=(a-b)*(a+b)

Q: Q4/A/ Evahuate Vi+x -1- 2r-7x-15 5 3- lim,0 1- lim, o (tan 2x.csc 4x ) 2- lim,. x-5

A:

Q: 5a - 4x + x (a) lim 376 + 6x? t2 + 21 – 3 (b) lim 1 t2 – 3t + 2 23+2 (c) lim 3+3

A:

Q: b) 49-(5+ x)² x-2 lim-

A: Use L.Hospital rule to evaluate above limit as in next step.

Q: raleuto lim Y-12 XB

A: First rationalize the expression as follows.

Q: 2x2-ху-у? x²-y² Evaluate lim (х.у) - (1,1) (2) 3. 2

A:

Q: V25+x -5 4-limx-0

A: At first, put x =0 and find the answer, if it results in indeterminate form then use the L'hospitals…

Q: 2x?-クyーツ lim メーフ4 x2-メ~12

A:

Q: x²-9 lim is equal to: х->3 х-3 а) 2 b) 3 с) 6

A: It's very easy!!! see in next step

Q: x²+9x+20 1. lim x→-4 x²-16 I|

A:

Q: 3x 2х 2) Lim х-1 х+1° X → 00

A: Given,   limx→∞(3xx-1-2xx+1)

Q: x2 - 4 a. limz-1 3r² + 6 c. lim→2 x² – 9 V2x – I – 3 b. limz→-3 d. lim, 45+ 1² + 2x – 3 I- 5

A: We have to find the given limit. (a). limx→1 x2-43x2+6

Q: lim (V10 + 2x+ x² – x) -

A: we have to calculate the limit…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.