1-х? а.) lim (x– 1)? Зх-10х3 b.) lim 5x - 7x? +1

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: А. 1. lim(7x* - x° +15x? – 11) X→-1 5x° + 6x? – 11 2. lim x--2 2x4 - 3x3 - x +16

A: Given:                                           1).limx→-1(7x4-x5+15x2-11)       To solve the given…

Q: 2a Find lim a--I a -a - 2

A: To find:lima→-1-2a2a2-a-2

Q: sec x -1 lim -

A:

Q: lim, →2, 1 X – 2J2x

A: The limit of the function is given limx→21x-2∫2xx2dt1+t3. To check the limit of the function ,…

Q: 4-x lim,.

A: The given limit is limx→∞4-xx

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

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Q: Show that lim Z-2 (2-2)4 || ∞

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Q: B. Find the limit. Зх — 1 5. lim х-1/3 9х2-1 x3 - 1 6. lim х+1 х-1

A: As per our guidelines we are supposed to answer only 3 subparts

Q: 1) lim (1--)*

A: As per our guidelines we can solve only 1 question. The rest can be reposted.    In question  no 1…

Q: Find lim?→∞ for (5x2-100x+sin2x) / x2. Thank you!

A: Please see the below picture for detailed solution.

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

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Q: iz?-z- lim- z2-1 i o -i O 1 0 -1 0

A: Calculation/ Explanation : Let  A = limz→∞i z2 - zz2 -1 Divide numerator and denominator with z2 we…

Q: ロ-4 Find lim エ-4 エ→4-

A: The given limit,limx→4-x-4x-4

Q: ■ Find the limit.

A: Given limt→∞t+t22t-t2

Q: 4) lim1+ 1 = ? %3D - r-

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Q: х-V4х+5 1. lim х-5 х2-25 1 4 2. lim х--з+ \x2+3х-18 7x2-11х-30,

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Q: 1) lim (1- – - 3,

A: The given limit is limx→∞1-3xx

Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

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Q: 3.lf limT(x--1) [(x^3+x^2-ax)] =1-a, then a= O a. 1. O b. 0. C. -1. O d. 1/2. 4-The equation…

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Q: Find lim 1+1? 1-e24 -2t -1 tant, 2 2 1-1

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Q: -2ln(cosx lim, 0 ,2

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Q: tan(x) Q1: limx¬n X-n is

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Q: 2t – 1 Evaluate lim,, tan-1, e> - t - 1

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Q: Find f(a)  a=2

A: We know that the definition of derivative is: We write the given equation in this format and find…

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

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Q: 2х-п lim =? COSX 2

A: We can use differential calculus to find the solution. When we directly apply the limit we get an…

Q: 1:3.5. - - (2n-1) now lim lim (n+1)! 1.3. 5-- - (2n-1)

A: Step1: Here to calculate the limit we value we have used the limit ratio test , where we the given…

Q: tan t sec 2t 2- lim 3t

A: Using rules of limits to find the answer.

Q: бх — 2, х < 2 3. limf(x) for f (x) = x-2 %3D 13x2 -1, х 22 |

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Q: Evaluate, Lim x-->-2+  ((x+2) cot (x2+5x+6))

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Q: . What is lim tan(x)? Why? 2 AY 10 8 6 4 2 -1A -0.5 0.5T, 1.57 27 2.57, 37 -4 -6

A: 1) limx→π2+tan(x)=? 2) limx→0+f(x) =? and limx→0-f(x) =?

Q: х3 — а3 lim х--а х4 — а4 x-a

A: Given  limx→ax3-a3x4-a4   We have to evaluate the limit.

Q: Vx? +12 - 4 x²-5x +6 2x-5x +6 a- Lim cos x b- Lim c- Lim d- Lim x - 2 x'-8 3x -8 --

A: If in limit denominator and numerator forms 0 by 0 use L hospital rule

Q: Show that lim (1 – 2²)"dr 0, n 00 0,

A: To show limn→∞∫01(1-x2)ndx=0 without attempting direct intergral.

Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: Q1) Find lim Bx+4-4cos²x+tanx x-0 4sin2x 10x2+125-5 Q2) Find lim x-0 3x2

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Q: lim cob lo) -の

A: Given : limθ→-∞cosθ3θ

Q: + 3х — 1 V4r6 – 2x lim -00

A: Given that:limx→-∞x3+3x-14x6-2x

Q: 4- Prove that lim- tan 2x 5-lim 2(-3+x)²-18) x-0 X-0 2.

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Q: Show that lim +7.6' 3D7 3^+6^

A: Consider the given limit,…

Q: 2つi 2×+1 Find Lim レ わサズ

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

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Q: Find the limits

A: Find the limits

Q: 13x3sin(는)= 13 2.플) .3, lim %3D (x.y) → (1,-

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Q: 4r-r lim 4 2-

A: We have to find limit

Q: 3+2r lim エ→0 =?

A: Given , limx→03x2+2xx

Q: Using direct substitution, what is lim²+6z_5, Z-2 223 O 1 O 1 O does not exist

A: We have to find    limx→2x2+6x-5x2-3

Q: Find lim I -4 2+1 1 lim z - -4 +1 Show your work and explain, in your own words, how you arrived at…

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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.