x Houy Find O lim +42-3 245 メ→- *X-2 lim メ→」 lim- O l.m. メ→2 -3X+3

Q: Determine the value of 6>0 for which lim (3x² – 1) = 47 x+ 4 A 6 = max{ – 4-16 -5, - 4 +/16+ 3 들) 3…

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Q: Find the following: (1) lim *-1 3 X-4 x-4 Ix-21-3 (2) lim X-5 x-5

A: Here we have to find the following given limit value

Q: Зх — 12 O Evaluate: lim x→4 3 – V2x +1

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

A: We have to calculate the limit

Q: A) x4-(y-1)4 lim (x,y)→(0,1) x²+(y-1)² = 0

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Q: [x] +x 3. lim х--1 х+ 2

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Q: Find the limit by rewriting the fraction first. ху — у — Зх + 3 lim х - 1 (x,y)>(1,4) x+1 ху — у —…

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Q: Guess the value of the following limits: 1. lim -3r+2 x-2 x-2 +2x 2. lim X-0 -2x-1-2 3. lim )

A: We have to evaluate the limit for the following... 1. limx→2x2-3x+2x-22.…

Q: Evaluate lim x - 4 3 O O 3 1. 4 3 2 3 (2x + 1)² 3x² + 8x - 3

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Q: Find the following: x+/3 + 9x/5 (2х — 1)4/2 — 3 i. Lim- X-0 6x/2 – 4x'/4 ii. Lim x→5+ х — 5

A: we are solving only part (a) of the question because it contains super subparts. Please upload the…

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: Find lim,00(e3 +2x)/* 1/x

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Q: find lim (2 x3 - 3 x + 5) X --> -1 O 6 O none of these answers O 4

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Q: Find lim x→3- x2 – 9 for o, -inf for -o, and DNE

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Q: Find the limit by rewriting the fraction first. ху — у - 8x +8 lim х - 1 (х,у) —>(1,3) x+1 ху — у —…

A: In this question , we can find the limit . Firstly , we arrange numerator term and cancel the…

Q: (a) n+ (-1) 2n lim

A: limn→∞-1nn+12n

Q: XVI+T(1-V2x+3) 7-6x+4x Compute lim

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Q: If √5 − 2x^2 ≤ g(x) ≤ √5 − x^2 for −1 ≤ x ≤ 1, find limx→0 g(x)

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Q: Find the following: x/3 + 9x/5 i. Lim X0 6x/2 - 4x!/4

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Q: 1 b. lim ,5 x-0

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Q: If limz - - 19+561 (z² + 38z) = x + iy, what is the value of x - y ?

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Q: b. lim -14 2r+7 is, • 0 • Not exisits • No one

A: As each question is independent to each other, I am solving first among all .

Q: Find the following: x+/3 + 9x+/5 i. Lim- x-0 6x1/2 – 4x1/4

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find lim,9)→(5,-1) (x³ + 4.x°y – 2xy²) . | 1. 3615 2. 3635 3. 2635 4. 2615 5. 2605

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Q: 5. Find lim X00 ex2

A: given , limx→∞x3ex2 we have to find limit of given function

Q: Evaluate -5x lim,→0 tan x O -5 O 1 O 5

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

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Q: Find the following 1 I – 6 (a) lim I4- 4 -I (b) lim -3 27 - r (c) lim -6 (x – 6)6

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Q: (b) 21-1 lim x³ + x² + x + 1 = 4.

A: Given : b limx→1 x3+x2+x+1 To Prove : limx→1 x3+x2+x+1=4

Q: Find the following: x+/3 + 9x/5 (2х — 1)1/2 — 3 - i. Lim- x-0 6x1/2 – 4x1/4 ii. Lim x→5+ х — 5

A: a)

Q: Find the value of Vx+3-/3 lim lim,-5* |x-5|(x²+5) (x-5) 1 O -20 2+/3 O 130 O none О 30 2 V3 O None 1…

A: 1) find the value of limx→0x+3-3x rationalize the numerator limx→0x+3-3x=limx→0x+3-3x×x+3+3x+3+3…

Q: Find the following 1 х — 6 lim 2-4- 4 b lim r-3 27 - r a lim -6 (x – 6)6

A: We have to use l hospitals rule to find limits

Q: Find the limits in Exercises 53–54

A: Hello! Thank you for the question but as per our honor code, we'll able to solve only the first…

Q: If 2x – 2 0, find limf (x). x→1

A: We can use the sandwich theorem to solve this question.

Q: 7x + 5 If 1(x) = find lim,-o 1(x) 8x + 1'

A: t(x) = 7x+58x+1limx→∞t(x)= limx→∞7x+58x+1taking x common= limx→∞x(7+5x)x(8+1x)= limx→∞7+5x8+1x=…

Q: Find the following: (2x – 1)/2 – 3 х — 5 x+/3 + 9x/5 i. Lim- x-0 6x1/2 – 4x²/4 ii. Lim

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Q: find Hhe fimih lim 28 X-8

A: Given: limx→8 x-7-1x-8 On applying the limit we get an indeterminate form of type 00

Q: Find the following: x'/3 + 9x1/5 i. Lim -о бх1/2 — (2х — 1)1/2 — 3 - 4x1/4 ii. Lim x→5+ х— 5

A: the limit is in 0/0 format,so we can use the L'Hospital's rule

Q: Find the following: x1/3 + 9x1/5 i. Lim х-0 6х1/2 — 4х1/4 ii. Lim х+5+ (2х — 1)1/2 — 3 х — 5

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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: )-() lim 2z- 1422–1|

A: We have to solve

Q: b) 49-(5+ x)² x-2 lim-

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

Q: Evaluate lim (3x . x+y) (х.у)-(4,5)

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Q: Find the following limits : 2*+3 1) lim x00 3x-1 2x+3 2) lim x--00 3x-1

A: A number M is said to be the limit of a function f(x) at x=a if for any arbitrarily chosen positive…

Q: Given fx) ={ax + b (2x – 6 if xs -2 if - 2<x < 2 if 2 sx 2. Find the values of a and h such that lim…

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Q: Find the following: (i) Lim      x^1/3 + 9x^1/5     x→0    6x^1/2 - 4x^1/4 (ii) Lim…

A: i) Since it is in 0/0 form, so we can apply the L'Hospital's rule

Q: 1 Find lim x → -5 Va2 +4

A: Given,

Q: fly=X2+2x+l X2- tx+l -1 1- 2 K Dina im FIx) X-7-17 O Fnd lim f) Y-7-1t fix) Find lim YI7- Dis flx)…

A: I am solving only first three subparts and for the remaining questions please post the question…

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.