x3 – 1 - 1 Calculate lim х>1 (х — 1)3

Q: (2-4)* Q1: limx-1 sin(x³–1) x-1

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Q: Q:Prove that: Vi+x+x² -1. Lim- 12-2 cos x + lim x->T/4 sin(x - T /4) > log, 0.005

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Q: e*(1-e*) (1+ x)[ In(1–x)] 12. lim, 0 'x0

A: Recall: If we have 00 form then we apply L'Hospital Rule.i.e, limx→a f(x)g(x)  = limx→a f'(x)g'(x)

Q: I- Evaluate the a-Lim(x/(x-1) – 1/ Ix) b- lim [In(cos(x))]* x->1+ x >0 x->0

A: Solution a: Given limx→1+xx-1-1lnx We can write it as…

Q: +h)4-44 Q 9 Compute limh-0 h

A: To find:

Q: (2 -1) s lim z

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Q: A tank initially contains 50 lb of salt dissolved in 250 gal of water. Starting at time t = 0, water…

A: A tank initially contains 50 lb of salt dissolved in 250 gal of water. Starting at time t = 0, water…

Q: Find the limits

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Q: sin 2t lim t- 2t

A: To find:limt→ 0sin2t2t

Q: Q4: A) solve: 1+xsin 1) lim- y0 1+xcos sin 2) lim -2m 20-4

A: Note: We are entitled to solve only one question at a time. To Find: i. limy→01+xsin1x1+xcos1xii.…

Q: 2n +1 a) Using the definition, show that lim n00 3n +4 3

A: Given,           limn→∞2n+13n+4=23

Q: V9h +1 - 1 Find lim 9h + 1 - 1 lim %3D

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Q: 1 - e7x lim 5x -0.1 -.01 -0.001 0.001 0.01 0.1 f(x)

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Q: 4 Find Lim x-0 2e* – 12 А. В. C. - 0.4 D. 0.5 Select one: O A O C O D NIN 13

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Q: 1+t-V1-t lim

A: To evaluate: limt→01+t-1-tt   if we substitute t=0, we get 00 (indeterminate form)   Consider…

Q: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

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Q: 1 + cos(x) a) lim %3D 20 -x ) lim x-1( In(61x-60)

A: Given, limx->π (1+ cos (x))/(6(x-π)²) = (1/6)limx->π (1+ cos (x))/((x-π)²) = (1/6)limx->π…

Q: 2n j3 lim - 24n n00 j=1

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Q: 2х + 1 29. lim x² – x X→-∞ - sin 2x 31. lim

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Q: 6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: -5x + cos (9x) – 1 Evaluate lim 2x Submit an exact answer.

A: To Evaluatelimx→0-5x+cos(9x)-12x Replace x with 0 in the given expression. If indeterminant form is…

Q: (3) Evaluate lim -(1+sin(4))t dt

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

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Q: 15x 5. Find lim using special limits. X→0 sin 3x

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Q: figure 1.13 10-8 lim f(z)- 22 O3

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Q: 4. lim-0 A. B. 1 C. sin D. Does not exist E. -1

A: We need to find limit.

Q: 1 1) Investigate lim h→0 cos h numerically (and graphically if you have a graphing utility). Then…

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Q: Q2: Evaluate: [1] 21 lim m COSXVI+ COSX – v1-x, sin-1(x) V1+x - [3] lim-o

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: 1 d) limy-→0- e) lim,o (1+ r/n)" 1 f) lim→0 x +

A: L'Hospital Rule : If limx→af(x)g(x) is in the form 00 or ∞∞, then limx→af(x)g(x) = limx→af'(x)g'(x)

Q: 1 1 11. lim -1-T+1 (x+1)² + 3]

A: Given limx→1-1x+1-1x+12+3 we need to evaluate the limit Substituting x as 1 11+1-11+12+3

Q: x- 4 lim Ix - 5x + 4 a. 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x) b. 1 lim -0.1 -0.01 -0.001 00.001 0.01…

A: (a) If the function is f(x)=x-4x2-5x+4, then x 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x)…

Q: 3* – 1 Evaluate lim Show the steps in your solution. t→0+ 6 sin t

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Q: Q4:Evaluate 1) lim (1-1) x-0 \sin x

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Q: 1) Calculate: lim E-1(5+ 3i) (÷) showing all work. i=1

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: (a) Find the following: x1/3 + 9x1/5 (2х — 1)4/2 — 3 х — 5 i. Lim х-о бх1/2 — 4х1/4 ii. Lim X-5+

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Q: If Screen Shot 2021-10-05 at 8.28.02 AM.png sin ax if X find the value of a so that Screen Shot…

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Q: In cos 2.x 4. Find lim -0 In cos 3x

A: limx→0ln (cos 2x)ln(cos 3x)Applying L'hospital rule:= limx→0ddxln(cos 2x)ddxln(cos 3x)= limx→0…

Q: 399. [T] lim e(x - 1) x-1 x-1

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Q: 1/(a+h)2 -1/a² lim h 0 for a +0 ん

A: b.   The algebraic formula for the whole square of the sum of two variables is,

Q: 22) Find lim -5 e-2x+6 .given e =2.7 and e0 = 1. = %3D X 3 A) -13. 5 В) - 2.7 C) 0. 0 D) -5.0

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Q: Is In(x² – 1) - 1) 6. Evalaute lim n cos(x)-1 r lulx2-1) lem lulx²-1)

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Q: 1 х — 1 x +1 h 4 (a) Lim (b) Ļim h→0 V5h + 4 – = -2 x→0 2 5 t3 – 1 = 3. - (c) Lim t→1 t-1 || +

A: Reduce the equations by rationalization or by algebraic identities to put the limits and get the…

Q: In cos 5x Find lim x-0 In cos 4.x

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Q: 1.1. Find the limit or show that it does not exist. (a) lim (e + 2 cos 3x) (b) lim vx + ax - x2 + Bx…

A: Note:- In given problem, first problem already has two sub-parts. So, according to guidelines, we…

Q: 4x 7 lim 1+ Compute the limit: x→0

A: here we put value of limit then we calculate

Q: 7. *Find the values of a and b lim sin(ax-2a) x-2 = 3 %3D x-2

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Q: I - 4 Prove that lim vI = 2 using the e-d-definition. Hint: Va - 2 = VT +2

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Q: 1. Let lim ||fn - f|| ₁² (1) = 0 n-00 Where I = [0,1]. Show that: lim | fn9ndμ = √fgdµ n-00 I and…

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