h 4 (b) Lim h-0 V5h +4 – 2

Q: Use the graph of f to find the indicated limit and function value.

A: Limits are used to find the "approaching" value of the function at the "approaching" point

Q: lim V2 XH

A: function is well defined , for calculating limit directly put the value of x and we will get the…

Q: Vx2+3 lim X-

A: limx→∞x2+3x=limx→∞x2(1+3x2)x=limx→∞x(1+3x2)x                         =limx→∞ (1+3x2)     =1

Q: t2+9-3 lim t-0 t2

A:

Q: h3 + h² – 8h – 12 2) lim h→3 h³ – 4h² – 3h + 18

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

Q: z +3 - iv2 lim z--3+iv2 z² + 6z + 11 1. 2.

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: D-16 2. Lim Z2-1 / Z2+3Z-1 Z- -16 3. Lim (2w+w? / w²+4

A: y→16limy2-y-2y3-6y2-7y+1 At first we will factorize the numerator and the denominator, but we can…

Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

A:

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

A:

Q: -3 •8*+7* |1.7*+8* Solve lim A) - в о C) 0 D) -3

A:

Q: 1²+2r-8 1+2√√√²+5-(x+1) (h) lim

A:

Q: 2) lim f(x) x-0 -3 -2 A) 1 B) » C) does not exist D) -1

A:

Q: 3 lim WrZ_3K -x). x2-3X

A: The value of the limit is, - 3/2 The detailed solution is as follows below:

Q: t2+3t+2 2. lim t--1 t2-t-2

A: To find the limit of the given function

Q: a3 – 1 + 3.r lim -00 VA.r – 2x

A: We will take common the highest power of the x, and then terms will cancel out which will make easy…

Q: Vx - va lim 8(х — а)

A:

Q: + h 4 (a) Lim×-1'x+1 X (b) Lim h→0 V5h + 4 – 2 -2 - t3 – 1 3. (c) Lim t-1 t-1 II

A: To show the given limits, we use the algebraic indentity and rationalization of a fraction.

Q: 2.7h - 1 lim 2.8h 1 lim - and - h 0 h h

A: To see explaintaton

Q: x2-9 is x→-3 V 2x2+7x+3 V30 lim V20 D. Е. О A. no limit B. С.

A:

Q: h 4 (b) Lim h-0 V5h + 4 - 2

A:

Q: V3+x-V3 is limx→0

A:

Q: 2+x (b) lim 1-2-2+x²

A:

Q: 4x2+11х-3 (i) lim x→-3 9—х2 (ii) lim 2 -1 *-4 х36 6-х Vx2+9-V2x2+9 (iii) lim х-0 VЗx2+4-V2х2+4

A: We will solve the following

Q: 2 -9 3 + 2r – 15 V5x2 – 2ェ (a) lim (b) lim エ→ー 10-エ

A:

Q: t2. 4. lim t- 3t3 1 2t-1 2

A: Given: limt→1213t3+1t2-12t-1

Q: 2 points f(4+h)-f(4) If f(x) = ax + 8Vx and limh-0 = 5, %3D 3h then a= 13 O 17 O 12

A:

Q: 1. lim (1+ Vw)(2 – w² + 3w*) 12 – 1 - 1 2. lim t-1 12 + 4t + 3 3 2z - 2 3. lim 2+2 - 4

A: we have to evaluate the limits. (1) limw→1(1+w3)(2-w2+3w3)(2)  limt→-1t2-1t2+4t+3(3)…

Q: ху — 2х — у +2 lim (K. y)-(1,2) X* + y² – 2x – 4y + 5

A: Let  S  be an open set containing  (x0,y0) , and let  f  be a function of two variables defined on…

Q: 4 x+I (a) Lim = -2 (b) Ļim h0 V5h + 4- 2 (c) Lim t3 – 1 = 3. t-1 t-1 II

A:

Q: x - 4x-12 a. lim X--2 x+2 V16-x-4 b. lim X-0

A:

Q: 4x 5e2* – 3e 6e2* + 2e 2. lim -4x x-00

A:

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: Vz - 3 lim z-3 z2- 9

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

Q: x- 2 5. Evaluate lim- 1→2 Jx+2 - 2 Solution:

A:

Q: Vx2 -25 b) lim x→-0o 6x-18

A: We have to find the limit

Q: kx+ v3 y = 3 | -5x+ v3y 3 | th=120 | k=? A=(4-1,-2/5 3/5) B=(3/5-2/5,-1 4) I(BA)^-1= (A^-1)(B^-1)…

A: Please rate

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: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

A:

Q: 2. lim f(x) = x²– 4x +4 х 2 Use the domain [-9,6] to draw the graph. X X -2

A: Firstly, See the graph of (x² -4x +4)/(x-2) , -9≤x≤6

Q: Solve z4-1 lim z→i z-i

A: The given expression is: limz→iz4-1z-i

Q: (а) 5x-3 – 4 (i) Lim- x--00 2x-2 +9 (х— 3)2 (iї) Lim X-0 x2 7- 2x – 3 2х —

A: (i) Obtain the limit as follows.…

Q: lim vn² +1-n

A: Given limx→∞n2+1-1

Q: Væ+11-/11 lim x→0

A:

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

A: To evaluate the given limit.

Q: 2. lim f(x) = x2– 4x +4 X Use the domain [-9,6] to draw the graph. х -2

A:

Q: lim₂+-1 f(x) = C 2

A: limit exist when

Q: Vx -2 25. а. lim х — 4 x→4 x-9 b. lim Vx-3 |

A:

Q: 3) lim (x- 3x + 4) 4) lim -V2x-2 A) -5 C) 0 B) 2 D) 7 A) V12 C) 2 B) -7 D) -6

A: 3.

Q: t² +3t t--3t²-t-12 b. lim (-3)²-9 u-0 น (x+h)³-x³ C. lim h→0 h a. lim

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.