sin (n x) ii lim( + π) x-1 x-1

Q: sin(a+x)-sin x 3. limx-0

A: limx→0sin(a+x)-sinxx

Q: Find the limits

A:

Q: lim sin(x)d.x (x2 + e2)2

A:

Q: sin 2x Find lim x-0 3x

A:

Q: sin(a+x)-sin x limx→o

A:

Q: sin(x - a) lim x→a 2(x²-a²)

A:

Q: lim X-3 Sinx X-0

A: Limit of a function

Q: (+) C lim x sin sin(3x) lim- 0 sin(4x) sin (x-1) lim 1 1-x+x² -x'

A:

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

A:

Q: sin(x+2) 4. lim x→-1 4x+8

A: We have to use the properties of limit.

Q: lim Sin (x-B) XB (x-B)

A:

Q: sin 2x lim x→0 2x²+x

A: the given limit is: limx→0sin2x2x2+x we have to find the value of the given limit

Q: ) lim Sin (x3x+2) メーラー x3+1

A:

Q: lim a-1 In(1-x) dx X

A:

Q: lim x→0 (sin3x sin5x/x2)

A:

Q: sin(7.rx) lim X-X

A:

Q: im x→0 tan(2x)/x

A:

Q: Lim x-0 e³ +ex -x²-2 sin² x-x²

A:

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

A:

Q: sin 1(e") 2. lim (- V1-e2

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Q: lim x→0 x⁹⁹ sin (7x) (sin x) 100

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Q: Find the limit

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

A:

Q: sin 2x d) lim- x+0 sin' 3x e) lim- x-0 tan' 2x 2 tan x f) lim- x-0 x sin 3x g) lim- sin 5x i) lim-…

A:

Q: lim x-6 x-4 |7-x| lim x-7 7-x 10 sin x lim x-0 6x

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Q: Find the limits

A:

Q: lim sin (–3 x z) = z-3

A: To find- the limit.

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: sin(3 – x) lim x→1 x2 – 5x + 6

A: Explained below

Q: iii. lim (1-sin x) tan x x→ I COS cos((x - 1)) iv. lim I-0 r³3r

A:

Q: sin x 4. lim x0 et In x 6. lim

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Q: sin(4z) f(x) = 9x 0.4 0.35 0.3 0.25 0/5 -0.25 0.25 sin(4x) Evaluate lim 9x Enter at least 3 decimal…

A: Let's find.

Q: lim x → 0 sin^8 x / x

A:

Q: evaluate the limit.

A: Given:

Q: Lim (1/x² – 1/x² sec x) X – 0

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Q: sin(2x) if x +0 f(x)%3D{ 3x if x-0 17 - lim f(x)+ f(0)=1 find the value of 'c'.

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Q: lim x approaches infinity x1/x

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Q: sin (n x) lim( + π) x-1 x-1

A: Use the property of limits and separate the terms to get limx→1sin(πx)x-1+limx→1π.…

Q: sin (x-5) lim x→5 x -8x+15 ||

A:

Q: sin x x0 sin Vx sin (x2 + x) 26. lim 28. lim sin (Vx-3) 30. lim x - 9

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

Q: Lim X-70. z Sin (^/2)

A: To find limx → 0 x sin1x

Q: sin x lim 1-e* x→0

A: Given query is to find the limit of the expression.

Q: sin 7x 9. lim 9.h x→0 sin 3x

A: GIVEN limx→0sin7xsin 3x

Q: sin(x4) lim X-0

A: The given limit,       limx→0sinx4x

Q: sin(3 – x) lim x→3 x² - 5x + 6

A:

Q: sin x - C cos 2 29. lim * - sin æ

A: We use l Hospital's Rule

Q: sin 2x lim x→0 5x2 + 7x is 2 А. 7 В. О C. no limit D. undefined Е.

A:

Q: Find the limits

A: We have to find the limit: limx→0x2-12-cos x Since this is determinate limit so we just have to put…

Q: sin 5x 17) lim х-0 sin x

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.