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

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: Solve

A:

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: 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)…

A:

Q: 1-sin t lim 1+cos 2t t- 2

A:

Q: 1. lim 3" 5. lim tan r 2. lim 5 6. lim cos r 3. lim log r 4. lim cos r 7. lim sinr

A:

Q: 3x²+x d (sin-()+sec='(x) (1) Compute lim cot-1(3x+*+1) (ii) Find- X+00 3x2-7 dx tan-1x+tan-1

A: i).…

Q: Compute Lim メーフ4 7x+5 -3 Sin ? X 2)x-70 3X イメ2+2 3) -00 X-7-00 2x-1

A: (1)Consider the given function with limit:

Q: 2 cos(8x) – 8 x² – 2 lim - sin(3x) — 2? — За

A: Here we apply l Hopital's rule.

Q: Find the limit

A: We have to find out the limit of given function Farmula used- (a-b) (a+b) = a^2-b^2 1-cos2x=sin2x

Q: - Ix-4 5. lim 1 3x² +5x+2 6. lim 14 x -x-12 tan 0 cos 20 7. lim 0–→0 sin 20 8. lim 0→n/2 tan0

A:

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

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

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

A:

Q: find 49. lim 0 - sin 0 cos e tan 0 - 0 sin 3x - 3x + x² 50. lim sin x sin 2r

A:

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

A:

Q: Infinite limits at infinity Determine the following limits.

A:

Q: Evaluate the limit.

A: limt→01-cos2tsin23t

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

A: The given expression is limx→24x3

Q: 1 1 Prove -2 secx tan x 1+ sin x 1- sin x

A:

Q: 4) lim (1 + sin 4x)¹/x x→0+

A: Given limx→x+1+sin(4x)1x

Q: Evaluate the limit.

A:

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

A:

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: 1. limu→-3 2. limh→0 3. limx→0 u+3 u²+4u+3 √5h+4-2 h 1–cosx x sin x tan 8 4. lime-002 cot 30

A:

Q: |- lim メ→ X-3 2. lim メ→2 (会 4 メー2 メ*-4 3. lim メ→。 3メ - S;u4X 4. lim メ→。 tau3X 5- lim 1- Cose Sin'e

A: Since you have asked multiple questions. So, we are solving first few for you. If you want any…

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. f(x)= xsin x 2. f(x) = x?cos 2 x 3. f(x) = tan x – sec x sin x 4. f(x) =

A:

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

A:

Q: Limits at infinity Evaluate the following limits.

A: "Since, you have asked a question with multiple subparts, we will solve the first three for you. If…

Q: 1-sin 0. (5) lim cos.20 (x2-2х+1)50 (6) lim X-00 (х+5)100

A:

Q: **. (1) lim,- V1+cos 2x 4 (x-) Q3) Find:

A:

Q: 1-cos 5x cOS lim 6x

A:

Q: ex-e2 1. lim x→2 x-2 x2 2. lim X0 sin 5x2 3. lim 5 cos 3x2-5 sin 8x2

A:

Q: (7x – 10,* lim x+0 7x lim 2x sin- 9 sin 27x lim x2 21x lim x+00 12 – 3x

A:

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: (1- cosx) cosx) limx-0 - ? x sin(x2) %3D

A: We have to find the value of limit

Q: (5) f(x) = cos (5 - 2x) (7) f(x): = cos (√x³ + 1) (9) f(x) = cot (x5) (6) f(x) = cos (4x7 + 3) (8)…

A: Note: As per company guidelines we solve only first three subparts when multiple parts question…

Q: 1- у-In (x' +4) -x tan' -1 х 2 y = e2x²-3;

A: We will solve the following

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

A:

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

A:

Q: 2x + Vx x² + 4x 3 1. lim 2. lim 7x2 + 2 sin x 3. lim x→-o x + e* 4. lim et 2xe2x In x 6. lim 5. lim…

A: To decide whether the given limit produces an indeterminate form6. limx→∞lnxx

Q: 1-cos(2x) tan x-sin x Q6- Evaluate: a- limx-0 b- lim x-0 sin (3x) sin³x

A:

Q: tan(3z) lim 5z z-0 sin(n)(1-cos(h)) lim h-0 sin(h)(1-cos(h) lim h-0 h3

A:

Q: 1. Evaluate 2. Evaluate sin(20) 30 x-2x cos x sin x limo lim, 0

A: Given is  limθ→0sin(2θ)3θ. L'Hospital rule: limx→af(x)g(x)=limx→af'(x)g'(x) NOTE: According to the…

Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

A:

Q: Q1) Solve:- 1) lim x-2n 2x-4n 2) lim X(1-cosx) x-0 tan(tan2x)

A: 1)

Q: x*cos (x²) 1 – cos 3x lim X-0

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

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:

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.