cos(x) sin (2x) lim x X sin(x) – 1

Q: 1 + x + sin x 47. lim 3 cos x 49. lim Vx + 4 cos (x + T)

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Q: 7x cos х -7x - lim [sin(-2x)sin(5x)sin(7x)] 2x3cos(x) lim 5x2 х>0

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Q: 1 (a) lim 2x+sin x 5x+2 (b) lim 1 (c) lim cos -

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: cos x dx - In (1 +x) 1- cos x a) b) lim

A: Given: a)∫011-cos xx2dx b)limx→0ln1+x21-cos x

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

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Q: x sin 4x b. lim x-0 1-cos3x

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Q: lim x→0 (sin10(x)cos(8x))/x=?

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Q: Find the limits

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Q: x csc (2x) lim cos (5x x->0

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Q: -2x lim (e cOs x) х) x → 00

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Q: 14. lim cos x 15. lim cos(x+ sin 16. lim

A: If any function is continuous within a given interval, then its limit must exist in that interval.…

Q: x sin(3x) lim x→0 sin(x2)

A:

Q: sin x cos 4x 32) lim X0 X+X cos 5x

A: Consider the given limit

Q: cos x lim z-n/2 sin (2x)

A: If limx→afxgx is in 00 form or ∞∞ form; then applying L Hospitals' rule we get:…

Q: lim h-0 2h sin(x² )dx = -2h cos(1) sin(1)

A:

Q: sin3x d) lim x→0 + lim cos x + lim 2x² x→2 x-3

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Q: f (x) = cos(x) f(x) = tan(sin(x)) g(x) = In(2x2 + 4x + 3)

A:

Q: Find the limit

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Q: (b) lim ln(sin x) x→0+

A: b) limx→0+ln(sin x)

Q: cos x tan x a) lim x→0 2x (x2 b) lim sin(x-) 4 x- 4

A:

Q: 4) lim (1 + sin 4x)¹/x x→0+

A: Given limx→x+1+sin(4x)1x

Q: x 0+ (d) lim (1 – 2x)¯4" -4x x→0+ (e) lim (sin æ)-In æ (f) lim (– In æ)*in æ sin x

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Q: xn²+1. lim, cos( x0 cos(*+1) x² +3 limx→0+ *国

A:

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: x 2 sinx Q1//A- f(x) = x <= COSX Required: lim f(x) 4

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Q: cos(x) lim 2

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Q: x + sin 2x lim x-2 x – sin 2x О з O 2 O 1/3 О 12 O other:

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Q: x+ cos x 4-lim X-0 \sin x cosx.

A: For the existing limit at the particular point, the Right-hand side limit should be equal to the…

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

A: Limits

Q: x sin(x) lim x-0 2 - 2 cos(x)

A:

Q: sin x 1) lim- 2) If f (x)=x +1 then the equation of tangent at x-2 is y-4x-3. d 3) dx -2 2

A: find limit using L hospital Rule    Since you have posted a question with multiple sub-parts, we…

Q: 1 + sin xT - lim X0 1+ cos x

A: We have to find the limit.

Q: 2x tan x+ cos I COS T lim

A:

Q: 2 sin a-sin 2x limr x-sin x

A: use l hospital rule

Q: 3x2 lim x→0 cos(2x) – 1

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Q: (x+h)³-x³ lim h→0 h. sin(3w) lim w-0 2w sin(h)(1-cos(h)) lim

A: We know (a+b)3 = a3 + 3a2b + 3ab2 + b3 limx→0sin xx = 1 limx→01 - cos xx = 0

Q: cos(x) sin (2x) lim x sin(x) – 1

A: To evaluate the limit: limx→π2cos(x)sin(2x)sin(x)-1 Solution: limx→π2cos(x)sin(2x)sin(x)-1 On…

Q: -2x – 1 Find lim X+0 sin 3 sin()

A: Using formulae of limits

Q: 1.) lim 2x sin'x. *P0 ex - x - 1

A: We apply l- hospital rules and solve it. Follow 2nd step.

Q: et Lim x-0 +e³-x²-2 sin² x-x²

A:

Q: 4+ sin x d. lim - 1- i cos(x+x) +2 g. lim

A: To find out the limit, substitute 0 for x and find out the limit value

Q: e* + e-x – x² –- 2 lim sin? x – x2 х — x→0

A: To evaluate: The limit limx→0ex+e-x-x2-2sin2x-x2. Calculation: Use L'Hospital rule to evaluate the…

Q: 3x+1 lim 1 sin x)

A: Given,         limx→03x+1x-1sinx

Q: x*cos (x²) 1 – cos 3x lim X-0

A: we have to find the limit of the given expression