sin(x ²–4) -4) lim x+2) tan (x+2) x→-2

Q: 3x+7 sin2x x+x.cosx 1- lim- x2-2 lim 2x2+x 3 - lim- x→0 2 - 00+X x→0 sinx.cosx 1 lim x-1- 1-x2 x-3…

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Q: 2x - 6x 34. lim x-0 sin 2x 35. lim 2 1- cos 2

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Q: 8 sin 3+ 5/ is equal to The number lim | sin(x) dx E. 5. 8 sin(x)dx 8 | sin(x) dx 3. 0 8 8. sin(x)…

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Q: lim x → ∞ cos(16/x)^(13.32x^2)

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Q: Use series to evaluate the limits in Exercises

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

Q: x-2 2. lim 2 x-8 x+3 5. lim 1/x+1/3 1 8. lim X-1 x-1 11. lim X-0 sin x 14. lim (x-3) cscx

A: We will first discuss the L-Hospitals rule. If the limit of the function is of the following form we…

Q: evaluate the limit.

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Q: {) Lim 1-cos Scos2x 7 メー)○ x2

A: Given: limx→01-cosxcos2xx2 for evaluating given limit, we use L hospital's rule according to L…

Q: Find the limit

A: We know that cos0=1  For x=0-, cosx will be less than 1.  So, |cosx-1|= -(cosx-1)= 1-cosx for x=0-…

Q: i) lim cos x-0 7 πCOS²x x²

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Q: 2 sin(-2 x) lim ثم أختر الاجابة ال 0.3) d x-0 4 sin (5 x)

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Q: Lim x-0 e³ +ex -x²-2 sin² x-x²

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Q: lim x →3 (x − 3) tan(9 — x²) sin²(2x - 6)

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Q: 1. حل المعادلة 0 sin 30 = sin لجميع قیم 0 x2 -2 lim 2. أوجد النهاية أن امكن 2- "ر

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Q: 22. lim cos2 (x - tan x) cos 2x - 1 sin x 24. lim

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Q: sin(3 – x) lim с2 — 5х + 6 x→2 x2 – 5x + 6

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Q: In Problems 7–16, use a table to find the indicated limit

A: The given expression is limx→24x3

Q: 9. lim(1+ sin²x)x X-0

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Q: cos(7x) – cos(9æ) lim x2

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Q: Зх + 1 1 lim x→0 sin x 5 2 3 1 2

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Q: Lim 2-2 cosx - xIn (1+x). x sin'x

A: We apply L hospital rule to find the limt. See 2nd,3rd and 4th step.

Q: 4) lim (1 + sin 4x)¹/x x→0+

A: Given limx→x+1+sin(4x)1x

Q: Use the shown table to find the indicated shown limit.

A: The given expression is limx→0sin3xx

Q: lim-o t- sin 3t² 1-cos 2t

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Q: 4.x - 1.) lim 32 1 — ебх-12 1+ 3x – cos x 2.) lim tan x

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Q: tan6(x) cos4(x) sin²(x)sec³(x) [7sin²(x) + 9cos²(x)] + C A 63 tan²(x) [7tan²(x) +9] + C B 36 Ⓒ…

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Q: 2 |-cos X lim b. X - Sin x

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Q: x²+3 1) lim X00 x2+4 1-cos x sin x 2) lim- X-0 sinx 3) lim X-0 ex-1

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Q: cos 2x – cos x lim | x→0 sin x O -1/4 О 3/2 O -1/2 O -2/3

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Q: lim (-4 0 sin x x

A: Let ,I=limx→ 01sinx-1xTaking cross multilplicationI=limx→ 0x-sinxxsinxI=0-sin(0)0sin(0)I=00Which is…

Q: lim 15 cos() x→0+ 7x

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Q: 1 1 X sin x+sin 2x Q3/ Find the value of (x) if5 -2 1= lim 3x -1 1

A: See the attachment

Q: lim X+x cos x 1- X → 0 sin x cos x 2 - lim(x + 3) x→2 |x + 2| x + 2 sin 5x lim X - 0 sin 4x 3- lim…

A: we have to find the following limits

Q: 4.x (a) lim 10 sin 5x sin() (b) lim 5x sin 3x (c) lim 10 x2 tan 2.x

A: Read the following instructions once 1. Short method is provided at the end of the subpart (c)…

Q: sin-1(e* 2 lim V1 - e2x x→0-

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Q: 1+3x COS x - 2.) lim tan x

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Q: 1– tan(*,) [1– sin x] lim 1+ tan(x (¥2) [z – 2x] x- - 2 1/8 1/32

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Q: sin(3) (x – 6) – 3sin(x – 6) lim x-6 (x – 6)2 + 2(x – 6) + 3 – 3e*-6

A: We have to find the limit.

Q: sin(2h)(1 – cos h) h2 lim

A: Consider Then simplify the function

Q: 2 sin(-2 x) lim ثم أختر الاجا أحسب الغاية التالية )0.3 sin (x ( 5 4 0.5 O O الغاية غير موجودة 1 O…

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Q: x+xcosx A: lim x-0 sinx cosx tan2(3x) B: lim x-0 x² 1-tan?x C: lim zcosx-1)

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Q: 2 sin x-sin 2x lim х-sin x 3 O -3 6 -6 о O O

A: Given- limx→02sinx-sin2xx-sinx To Find- The valuie of the limit.

Q: (sin(x), x 4 x, k(x) = f(x) = -x2 + 4x – 2, х — 6,

A: Consider the given function as fx=sinx     x<0x         0<x<2-x2+4x-2…

Q: lim x (1 – cos X→-0

A: limx→-∞x1-cos1x

Q: 2-27 1- lim X-3 2-9 2-2x2+1 2- lim -0 -2 Vx+25-5 3- lim sin2x? 4- lim x-0 x sin x 5- lim X-0 2-2cosx

A: 1.

Q: tan x lim tan 3.x X → T/2

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Q: 3.1) lim x→0 x³ –4x² sin² x

A: