1. lim sin x sin 2x x-0 1-cos x 3x+x+2 . lim X-4x3+8x+1

Q: 1-cos (x-7) lim ثم اختر الاجابة الصحيحة؟ أحسب الغاية التالية xt (x-n)sin (x-7)

A: We will use the limit theorems to evaluate the limit as x tends to π.

Q: 1-cos x lim sin x x→0

A: Given: limx→01-cosxsinx

Q: (c) cos lim (tan x)°os x x-(플)-

A:

Q: lim x-->0 (sin(2x^3))/(3x^2)

A:

Q: sin(4x) 8. Compute lim x-0 tan(3x)

A: The solution are next step

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

A: In this question we need to find limit of the given function.

Q: エ→2 x² -4 1- cos 2x 7) lim X sin x エ→0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1- Cos(ux) lim x-)0

A: Given expression limx→01-cos4xx2 Recall the identity 1-cos2x=2sin2x limx→02sin22xx2

Q: x sin(x-1) с) lim х+1 2х2-х-1

A: Solution: The objective is to find the limit value of the given function

Q: 7x cos()-7x [sin(-2x)sin(5x)sin(7x)] – lim 2x cos(x) lim x-0 5x?

A:

Q: 1-cos 2x lim x2 sec x-tan x lim X→0 X→- 2 x- 2 x2 +sin 3x lim 2x+tan 2x . х-0

A: We are solving first question for you. If you want solution for any other question than please…

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

A:

Q: 44. lim sin² x x→n/4

A:

Q: sin°(,² – 4) (x+2) tan(x+ 2 limy→-2

A: We have to solve

Q: Evaluate sin 0 – 1 lim 0 - T/2 In sin 0

A:

Q: 1-cos 2x lim x2 sec x-tan x X→0 lim TT X→- 2 2

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

Q: 1 lim (1 + sin²x)x

A: We have to solve the given limit: limx→01+sin2 x1x This is 1∞ indeterminate form of limit we know…

Q: 4) lim (1 + sin 4x)¹/x x→0+

A: Given limx→x+1+sin(4x)1x

Q: (1) limx¬(1/2)-(tan x)cos x

A: Given that  1)limx→(π2)-(tanx)cosx 2)limx→0x-3(tan-1x-x)

Q: tan 7x i) lim x+0 sin 3x sin(x2 + 3x + 2) j) lim x+2 x + 2

A:

Q: 2. sinx+4 sin x-5 lim sin x-1 Xx/2

A: →When limit is of the form 00 or ∞∞, then L Hospital's rule is used. In this rule, take the…

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

A:

Q: 1-cos 2x sin² x limx-0

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

Q: In(sin 4x) \ In(sin 8x) lim x → 0

A: We have to evaluate the limitlimx→0ln(sin4x)ln(sin8x)

Q: x cos (3x – 7) cos(2x+ 7) lim cos(플-x)

A: Limits

Q: lim * In(sec(2x)) x→0 (sin(3x))³

A: To find the limit.

Q: 2 lim (x + 6) sin(3x) cot (x² + 6x) X→0

A:

Q: 1- COs x lim x→0 3x sin x

A: This question is based on limits.

Q: 19 sin(2 x) lim X- 0 9 tan(18 x) lim X- 0

A:

Q: 1-sinx x²-49 b. lim x→7 x-7 lim C. lim X→00 x²+1 a. X 1-cosx

A:

Q: 4x 3-limx-0 tan5x sin(cos y) 4-lim, y- 2

A:

Q: 2 sin (4x) lim 2. x2 (1+ cos x)

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: tanx 4 – lim 0 Cos[1– –] X 0.7 O 1.5 O 0.5

A:

Q: 6 lim Sinx ex -1

A:

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

A:

Q: lim as x approaches 0   x sin(x)/1-cos(x)

A:

Q: 1-cos (x-T) lim x→T(x-T)sin (x-π)

A: Given limit, limx→π1-cosx-πx-πsinx-π

Q: 1. Lim 2×ー2xーメ+1 x-x3- 2x + 2 3. Lim メ→。 |- Cos X X-1 Sin 2x 2. Lim csc ax Csc 2x 4. Lim 7X 2x+5 x-…

A:

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: cOs x tan x 28) lim x→0 sin 3x 29) lim x→0 2x x3 + 2x2 + x 30) lim x→-1 x4 + x3 + 2x + 2

A: As per our guidelines we need to solve only 3 questions .please repost the remaining subparts as…

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: et Lim x-0 +e³-x²-2 sin² x-x²

A:

Q: х(4+sin 6x) 3. lim X→+0 х+1

A:

Q: (1- cos.x)? cosx) limx-0 x sin(x2)

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Q: lim COS X tanx メー→o <-2メ4リX-8 2lim 3 メ→ 2 xリ_2X メ-2 xツ_2Xメ

A:

Q: limx¬1 x(1 – cos-) x→1

A:

Q: 1-cos 2X lim x→0 x2 sec x-tan x lim X→- X- 2 x2+sin 3x lim r20 2x+tan 2x

A:

Q: 3.1) lim x→0 x³ –4x² sin² x

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.