Inx lim X+o x3 lim- x-0 ex - x2 - 1 lim- 0 sin'3x

Q: L’Hôpital’s Rule is used incorrectly. Describe the error.

A: Given: limx→∞xcos1x

Q: lim x approaches 0 .............. (sinx)^2

A: Given:              limx→0 sin x2 Plug in the value: x = 0             =sin02

Q: 1-cos(x) Find lim x-0 2x

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Q: sin(Tæ) lim x → 12 In(x – 11) -

A: The given limit,          limx→12sinπxlnx-11

Q: 1-sinx x-1-cos2x 9) lim 10) lim TC X- sinx-cosx TL X- 4

A:

Q: csc 2x – cot 2x 1. lim X csc 2x 3 x+1-1 2. lim X [x] + x 3. lim x--1 x + 2

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Q: limx>0+ (1/x- 1/tan-1x)

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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: 2 xt (* sin) lim sec x lim X→+0 X. 2

A: Given limits are  1) limx→∞xsin2x2)limx→π2secx3)limx→0sinxx

Q: lim (tan x) cos x x-2 X-

A: This question is based on limits of 0infinty indeterminate form.

Q: lim x approaches 0 ................ (x^2 - 1)(2 - cos x)

A: To find the limit of the function as x approaches 0, the function is given as follows: x2-12-cos x

Q: lim tanx i. x→ 0 lim In(1+ x)] 11. x→ 0 lim sin ax i1. where a and b are constants. r0sinbxr

A: We are only allow to to do first question and three subpart of question So if you need rest of…

Q: 1. lim sin -;). x→2

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: lim x to (0) cosecx - cotx

A: Find the limit as follows:

Q: x-sin 2x Find lim 2х

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Q: lim   ln(cosx) x → π/2

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Q: Q5/ * lim (x-3)(sin-'(x) – x) using L Hopital Rule

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Q: . lim sin x 21 sin 2x 3. limx-0 2x 9. limx-n/2 cSC X 10. limx-n sec x

A: Definition and methods help to find the required limit of the given function. A value is said to be…

Q: tan 3x 18. lim 1-cos x 19. lim -0 tanx

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Q: Lim 1- Cosx て X-)0

A: Given: L=limx→01-cosxsin2x We know that 1-cos2x=2sin2x…

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

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Q: x-sin x' A- Find limx-0 1-cos x.

A: We will apply the L'hospitals rule because the limit is of 0/0 form.

Q: H.W. Find x-sinx 1. lim X-0 x-tanx

A: “Since you have posted a question with multiple questions , we will solve first for you. To get…

Q: limx>0 sin-1x/x

A: So, now we apply L' hospital rule to evaluate the given function. Because if we directly apply the…

Q: Evaluate the limit: limx->0 (sin x)3/ln x

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Q: sinx lim x-0 x-xcos x

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Q: tanx Lim メーマ0

A: If we direct apply this limit  It becomes 0/0 form  So we apply d'hopital rule

Q: x - sin x 2. Find lim x - 0 x - tan x

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Q: Find the limit

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Q: lim sin(5x) csc(3x) X-0

A: Formula: LimX→0[sin(ax)/x]=a

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: 2x-arcsinx 7. lim x→0 2x+arctgx emx. 8. lim х-0 пх In(1+3*) 9. lim x→-o In(1+2*)

A: There are multiple question so as per Bartleby policy  I have answered two question, Kindly ask…

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

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

Q: (sinx -) (3sin²x -sinx +1) lim TE +X, 2

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Q: x+1 1-x In [cosh (x+1) + sinh (x+1) lim 2tanh x=1- lim_ In x=1+ l

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Q: limx>0+ arcrtan(2x)/ln(x)

A: Given: limx→0+tan-12xlnx for evaluating given limit, we substitute x=0+ in given limit

Q: 2 sin(x)-sin(2x) х-sin(x) lim X→0

A: Given,           limx→02sinx-sin2xx-sinx

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

A: Use the definition of limit

Q: 3xtanx 6. lim X-0 sinx sinx 7. lim- X-0 x

A: 6-Given- limx→03xtanxsinx To Find- The value of the limit.

Q: 4. lim (sinx)tanx X0+

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Q: 1 lim x-0 (sinx ズ→ X.

A: Evaluate the limit limx→01sin x-1x. Rewrite the expression: limx→01sin x-1x=limx→0x-sin xx sin x…

Q: lim sin x In x

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Q: 1 - cosh x lim x→0+ ln(x² + 1)

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Q: lim sin2x/ x            x---&gt;0 lim tanx/tan2x       x----&gt;0

A: Multiplied the numerator and denominator by 2When x-&gt;0 then 2x-&gt;0Answer: 2

Q: 2 sin x-sin 2x lim X→0 х-sin x

A: Consider the limit limx→02sin x-sin 2xx-sin x. On applying the limit, it gives the indeterminate…

Q: tan(x)-sin(x) e. lim x2 tan(x) (In (cos(3x))] f. lim 2x2 tan(x)-x g. lim x0 (sin(x)-x. ex-In(1+x)-1…

A: e) Given data:   The expression for the given limit is limx→0tan(x)-sin(x)x2tan(x).     The given…

Q: (2sinx-sin2x' 1. lim x-sinx

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Q: (1) limx→(π/2)-(tan x) (2) limx→0 x ³(tan-¹ x - x)

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