lim (nxln(x -1) =? Use L'Hospital's Rule X

Q: 7) lim (Ln(x) – x) X→∞

A:

Q: lim tangx X->즐 (쫄-x n2.

A: Given: limx→π2tan2xπ2-x 00 form If limx→afxg(x) is of the form 00, then we use L'Hospital's rule.…

Q: lim                                          (9x/(9x+8))^9x x approaches  infinity using…

A: Given, We have to calculate the limit.

Q: Compute x-+xX lim X-700 It Ttx Sinx 2) Lim X-70 CUSX-1 X3-1 1L-X

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. lim (x - Inx)* x)² 2-0+

A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.

Q: Lim secx -co tx メーマ

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Q: lim x- Vx x-0

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Q: lim х>1 \x-1 X→1 Inx,

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Q: 1 lim (Lnx)x

A: To find limx→∞lnx1x

Q: 1) lim (2x – 3) = 1 x-2 2) lim|x| = 0 x²-9 3) lim х-з х-3 9 3

A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: 1) lim-sinx x-0 2) lim - (x . tan x

A: According to the guidelines of company I can only answer first question since you have asked…

Q: x-sinx (i) lim x2

A: i) limx->0x-sin xx2

Q: x-sinx 1) lim 2) lim-(x-). tan x 3): write an equation for the tangent line at x-3 of the curve: 1…

A: Answer

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

Q: lim tan^-1 x divided by x where x is 0 would that be considered undefined?

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Q: Lim x approaches to - infinity (5-1/x)

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Q: 2Tan 'x -x 9. lim, 2x – Sin^x

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Q: lim x to (0) cosecx - cotx

A: Find the limit as follows:

Q: x-sin 2x Find lim 2х

A:

Q: lim- x-0 X

A: Given :limx→05x

Q: e- lim x-3 x2-9 V3x-3 ,x + 3

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Q: eax lim x → 0 In(1+ bx) -ах e

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Q: 2) lim-(x-) ta tan x

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Q: d- lim x+1 /V2x²+x+1

A: First take x common and then use l hospital's rule to find the answer.

Q: xtan x Solve for the lim X0 sin 3x

A: Given : limx→0x tanxsin3x   To find : Solution of the given limit?

Q: lim lnxln(x-1) = ? Use L'Hospital's Rule

A: Given limit:

Q: lim x approaches 2  .......... [x2 - 7x + 10]/[ x - 2]

A: Given :                     limx→2 x2 - 7x + 10x-2

Q: (1 – V3x lim tan- 3 + x x-00

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Q: lim (lnx/x1/2 - 1/x)  ? x-->infinity

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Q: lim x approaches 0 (e3x-3x-1)/x2

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Q: limx->0+ (x^(e) -5x^(4) -3x^(6) - x^(3) +100)

A:

Q: lim sec x x-(-71/2)"

A:

Q: xtanx Solve for the lim x-0 sin 3x

A: To solve this problem we have to use L' Hopital's rule.

Q: sin(2Tx) lim x → 3 x2 – 9 | O -0.6667 T O 0.6667 T O 0.3333 ↑ О -0.3333 п

A:

Q: 3) lim Lnx .tanx x-0+

A: Use lim sinx/x and L'Hospital law .

Q: Find lim x→-3 sin(−4 π x)   lim x→-3 sin(−4 π x)

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Q: 34. lim 2-x 35. lim vx -x 36. lim vx-x 140

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Q: 7- sin-(e*) 2 lim V1 - e2x

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Q: 2- x - sinx 1. lim x00 x + cosx x*+2x-1 2. lim-0 x3-2x2+x

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Q: Find the limit

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Q: lim (4x+cosx) / x ? x--->infinity

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Q: lim lnxln(x-1)=? Use L'Hospital's Rule

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Q: lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N <

A: Use the definition of limit

Q: Qz tanx) lim メ→(室-x)

A: the solution is given below

Q: +lim x-0 e -x - 8x ex - e x - sin x

A:

Q: Lim tan 7X+25inX 3+X

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Q: lim cosx x-0 x2-x+3 1-Vx-6 lim X-7 x-7

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Q: cos 3x – cos 2x - Evaluate limx→0 x2

A: Consider the given function, limx→0cos3x-cos2xx2 applying the limit to the function we get,…

Q: lim tan x x- ->

A: