-2х - 4х +4 а. lim х3 — 27 х— 2 b. lim 9x² +1

Q: 3r²-7r-6 lim r2 - 9 6.

A: We have to evaluate the limit 11) limx→33x2-7x-6x2-9 12) limx→25x-25x-5

Q: х — 2 (b) lim х-2 х2 — 4

A:

Q: Find the limits by rewriting the fractions first.

A:

Q: (a) 5x-3 - 4. (i) Lim x-0 2x-2 +9 (х — 3)2 (ii) Lim X-00 x2 — 2х-3

A: To find the limits

Q: Find lim tan -2 16r-32

A: We have to evaluate the limit function: limx→2x2-416x-32π After putting the value of limit we get…

Q: 2z 4z +9 Find lim, oo 00 3z2 8

A:

Q: lim, 6 8(x – 5)(x – 7) Answer: -8 4x2-9 lim3/2 2x+3 Answer: 0

A: The value of the given limits are –8 and 0 respectively.

Q: 6z +5 Determine the value of limz-+00 43z+7

A: To evaluate the limit of the given function at x =∞ , first we  simplify the given expression and…

Q: Find the |8z-56| lim, 7 7-I

A: We have to find the limit of: limx→7-8x-567-x

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: Q1) Solve:- 5cosx 1) lim 4х-2п 2

A: In question  We have given an expression  5cosx/(4x - 2π) We'll find the value of given expression…

Q: Evaluate:

A: We can find the limit of an expression by applying the limit point as the value of the variable in…

Q: 3x2 (b) lim х30 х+1-ех

A:

Q: evaluate   lim       squareroot(2(x+h)2-3(x+h)-4   -  squareroot(2x2-3x-4)…

A: To determine the given limit . Note that it is the derivative of the function (2x^2-3x-4)^0.5. It is…

Q: 9r2 +2r 5 (h) lim 5x +3

A: Topic = Limits As per guidelines , At a time only one question can be answered. please repost for…

Q: (a) 5x-3 - 4 (i) Lim x-+00 2x-2 +9 (x- 3)2 (ii) Lim 7- 2x – 3

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: lim,→-1 22²+2-1 2+1

A: See the answer below

Q: Q.2 Find the lim, 2x-6|

A: Given, limx→3 2x-6

Q: 22 – 4z + 4 Find limz→2 z2 – 4

A: limz→2z2-4z+4z2-4     =limz→2(z-2)2(z+2)(z-2)      =limz→2(z-2)(z+2       =2-22+2        =04…

Q: Q 7 Find lim y+21y2 +71y + 51 y2-9

A: Consider the given limits

Q: х -4х — 21 lim -3 2r' - 4x? – 30x

A:

Q: -2x-4 Find lim→-2 3+2x² ||

A: Using L'Hospital rule to calculating above.

Q: 6xh + 3h2- 5h lim h-0

A: On directly substituting the limit, the indeterminate form 00 will be obtained. So, in such a way…

Q: х-1 а) lim х-2 (х-2)*

A: We have to find

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

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

Q: 8y – 24 lim y-3 2y - 6

A: Given limy→38y-242y-6

Q: y? lim (х.у)-(1,0) х2 + у? — 2х + 1

A:

Q: x² + 7x- 18 lim 6- 1 -69

A: Given

Q: Vz2+4-2 (d) lim 22

A: We can find the limit as below.

Q: 2a? Find lim а->-га* — а — 2 a→-1¯ a

A: We have to find lima→-1-2a2a2-a-2.

Q: 2r2 - 4z lim r2-2r-15

A: Given,         limx→-3-2x2-4xx2-2x-15

Q: Exc. Eind. Lim (x-1) y3 2

A:

Q: Find the limits

A: To find limitlimh→05h+4−2h

Q: 6xh + 3h2 - 5h lim- h

A:

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: Ass 1. lim t2-4 tウ-2 t2+st+ 1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: -5x3-4x²+8 b) lim x-0 6x2+3x+2

A: In this problem , x goes to infinity ,  Firstly cancel the highest power of x in numerator and…

Q: V4x – 7y – 4 Find lim by rewriting the fraction first. 4х -7у - 16 (ху) ->(4,0) 4x - 7y + 16

A:

Q: Evaluate lim, o -11z²+13z 9x-

A:

Q: Find sec2 (2x) 1- S (tan2x-4)9

A: Since multiple questions are asked, according to guidelines I am solving the first question. Please…

Q: Find -3) 2/2 lim xxx+1,

A:

Q: find the limit or explain why it does not exist

A: Part (a) limx→0x2-4x+4x3+5x2-14x=limx→0x2-4x+4xx2+5x-14=limx→0x-22xx-2x+7=limx→0x-2xx+7 Now…

Q: 8m3 - 27 2 lim 2m - 3 m- 2

A: a³ – b³ = (a – b)(a² + ab + b²)

Q: 2-9x +20, lim r-4 x- + 2x – 24 2х -24

A: To evaluate the given limit.

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: neither x² – 9 A) limx→3 4х — 12 - x2 – 1 - B) limx→1 VI – 1

A:

Q: Find:

A: The given expression is limx→-24x2+5