2n = [4x – 8| lim n→0 n + 1 2 |4x – 8|

Q: 2. Evaluate the following limits. 3x+5 e. lim x→+o 2x+1

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Q: VE + t? 2 19. lim 2t - t2

A: Given: limt→∞t+t22t-t2

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A:

Q: Find the lim 2 V 2x - O 2 O 1 None of these

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Q: 1-3x limx-0 V5x2+2 Select one: О а. 5 -3 O b. 5 C. O d. 5 O e. none

A: Divide both numerator and denominator by x and use the limit

Q: #7 Sequence Exn de Fined by Xn= e Ton For n Ğ N. Show that limm Xn =e n-70

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Q: Q2: Fill the blank: 1) lim (1+)52 x48 4x 2) lim x.e-3x = X-80 3) (csch¯¹x³) = . dx 5x =...

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Q: Find the limit to the recursive equation: am+1 = (4 + 4an) / (1 + an) assuming ao > 0. Round your…

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Q: 3xt lim x0 5x4 +3x3 + 9x3 is А. 6 B. does not exist С. 2 D. 3

A: Given, limx→03x4+9x35x4+3x3

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Q: 6x c) lim 10 4r – 7

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Q: 21 – 17x + 35 x- 5 3 lim .. A. D. 9 В. 5 С. 7 Е. 11

A: We can make it easier for you.

Q: 8m³ – 27 8. lim m → 3/2 2m – 3 1-e-n 10. lim n -0 1-n Vu2+9u+9 – 3 12. lim *;b = ? и

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Q: dt 22. lim is x2 - 16 x-4 (A) – el6 (В) 2 e16 (C) 16el6 (D) nonexistent

A: Given: L=limx→4∫4xt2et2dtx2-16 For evaluating given limit, we use L hospital's rule According to L…

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A: Definition used -             Limit of a rational function -             If limit x tends…

Q: 4 lim z+0x5

A: topic- limits Since denominator is negative, and near to zero .Therefore limit tends to negative…

Q: Qza Find the demain nd th X+3 X-1 Eunstien

A: Domain the set of all input values where function defined

Q: Evaluate the limit.

A: Given that limt→-∞4+6e2t5-9e3t. Compute the limit as follows.

Q: a. [=³² (n =)²] 15. lim z→0+

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Q: Find a point c satisfying the conclusion of the MVT for the function y(x) 4x2/3 %3D on the interval…

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Q: 4 is x→00 2x2-3 lim A. undefined В. 4 С. 2 D. 0 E. 1

A: To compute the following limit

Q: 100x – 180xy +81y lim 3. Find by rewriting the fraction first. (x,y)-(9,10) 10x-9y 10x-9y

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Q: 3x+x Q2) Evaluate limy+o 2-8

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Q: Which of the folwoing is true? -2x2 + 3x-1 - lim 5x3 – 5x+2 -2t2 - 3t +7 II. lim t+0 4t2 + 2 X+ + 0…

A: To find the limit of following function

Q: What is the expansion of 1 f (x) = %3D Ο Σε' Σ 2n 2n Σ Next

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Q: 10. lim e3x-1-3x is (A) 0 (B) 1 (C) 4.5 (D) 9 oldong ooa no ow bilov worla (E) nonexistent

A: We have to find limit

Q: -2x-8 x - 4 (ь) lim O 0° O 100 O c0 O o.00 O c0 - 00 O not indeterminate

A: Given,  limx→∞x2-2x-8x-4  We have to find the form of the limit.

Q: t + 3 24. lim 2t2-1 t 0∞

A: Given:

Q: Evaluate the limit 9n4 + 13n³ – 5n – 10 lim 25n16 +5n2 – 9n n00

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Q: lim 3x?2 + ух сos(пх — пz) = - 13 (х.у 2) - (2,1,-1)

A: We will put the limits and solve.

Q: Find the linearization at x = a. y = (10 + x)-1/2, a = 9 (Use symbolic notation and fractions where…

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Q: a +b° + c° limy- 3 8.

A: the given limit is ,                     lim(x→∞ax+bx+cx3)1x in order to find the limit first take…

Q: 312+ t 17. lim .3 t-4t + 1

A: Given,limt→-∞ 3t2+tt3-4t +1Here denominator has degree 3 and numerator has degree 2.Thus,…

Q: otherwise exist, enter DNE.) x2 + 18x + 81 lim x- -9 x2 + 10x + 9 DNE Need Help? Read It

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Q: Ql Find the Ligit hor the hollowing fun drogs mlim -2x-4 メ→-2 ×3+2メー 2 lim 4-x メ→タ 5- g to

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Q: 9x+5 Given that f (x) = find f-(x) AND prove by co 3

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Q: Now we have the following. (If an answer does not exist, enter DNE.) 15 3+ 15n? lim lim n- nn+ 13n…

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Q: ex -e* lim 4 x-2 x-2

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Q: 4) lim(+ 4x + x*) = ? .2 %3D x0*

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Q: Q1(i) Prove that Lim + a+ 1 2n²+1 V2n²+2 V2n²+n]

A: (1) Given, g(x)=limn→∞12n2+1+12n2+2+.....+12n2+n suppose any f(x) and g(x)…

Q: In(x), 5 s x s 16 f(x) A = lim n- o 2 i = 1

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Q: xn+xn-1+xn-2+...+ roo (n−1)n-1+(n−2)æn=2+…+ What is the lim ne Zt?

A: This is a problem related to limit and continuity. Based on the general formula and concept we will…

Q: 5n³ + (–1)". If y = lim 4n³ + 2

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Q: lim 2V3. +onx 2cosx+1 %3D 6.

A: Our Aim is to evaluate limx→π623×tanx2 cosx+1 -(i)

Q: lim / exp(-nz)r*dr = 1. 2.0 3. 4.4 1 2 3 4

A: We know the result that : limit of integral is equal to integral of limit. Use this result to find…

Q: determine th -7n 3n 6n + 1 n=D1 lim Vla %3D

A: The correct option is option 2 “diverges”. Find the an term from the series.

Q: Find the linearization at x = a. f(x) = 8x°, a = 1 (Use symbolic notation and fractions where…

A: The given function is fx=8x9,a=1. Obtain the derivative of the function as follows:…