sin 5x 6. lim x→0 sin 10x

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A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

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Q: 1+ sin x i 3. lim- 1 I+ cOs x

A:

Q: 1 lim (x² –1)sin x+1

A: To find out the limit.

Q: In( cosh(9x) - sinh(9x) ) - In( cosh(10x) + sinh(10x) ) = Select one:

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

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Q: lim sin(x)d.x (x2 + e2)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: 1-sin t lim 1+cos 2t t- 2

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Q: X - x cos x lim I-0 sin? 3x

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Q: Q1: Solve Two Only : x sin (x+sinx)" a- limx-0 sin'x b-lim0 X-xcos4x

A: Solve any two

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

A:

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 (3x + 1) sin(2x) 4x2

A:

Q: sech? (In x²) 15. f x/6 tanh (In x²) – tanh² (In x²) dx

A: I = ∫ sec h2 (ln x2)x6tan h(ln x2)-tan h2(ln x2)dx=∫ sec h2(2ln x)x6tan h(ln x2)-tan h2(ln x2) dx=∫…

Q: e) lim 1-cost sin²)

A:

Q: 4) lim (1 + sin 4x)¹/x x→0+

A: Given limx→x+1+sin(4x)1x

Q: 43. lim x sin(7/x) 45. lim sin 5x csc 3x

A:

Q: (c) (d) sin 3x lim z0 tan 3r lim (In(sin 2x) - In(tanz)) +0+z

A: Here we have to solve the given limits.

Q: sin(6a°y³) =? lim a,y)→(0,0) xl12 + y4

A: If we put (0, 0) along the line y = m x3 , then,

Q: ex+e¬x_x²-2 3. lim X--0 SIN²X-x2

A: The given limit  limx→0ex+e-x-x2-2sin2x-x2 This limit is in 0/0 form, so we can apply L' Hospital's…

Q: sin(x) is The solution for lim 1- cos(x) O 1 O DNE

A:

Q: 3. lim, 2x e²x-e sinx -2x

A: Given limit limx→0e2x-e-2xsinx The objective is to find the limit.

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

A:

Q: h(x)= sin¯' 3x– 6x sec x² -1

A: The given function is  h(x)=sin-13x-6xsec-1x2

Q: tan x 2. (a) lim e →号一 (b) lim sin (tanh 3x) エ→十0

A: limx→π2-etanx

Q: 4. sin 5. y = x ArcCC 1 + v1-x² 2+X 6. y = Arccot x + Arctan 1-2x >| ×

A:

Q: sin(9x) (d) lim x – 7 (e) lim 7| (f) lim x8, COS

A: We have to evaluate the following limits

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

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Q: 3x2 lim x→0 cos(2x) – 1

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Q: sin-1(e* 2 lim V1 - e2x x→0-

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Q: 43. lim (2 sin x – 1) | x→0

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Q: h 1 lim h→0 2h sin(x² + 1)dx = -h

A: Here we will find out the required limit.

Q: sin(2h)(1 – cos h) h2 lim

A: Consider Then simplify the function

Q: 4 lim sin(x) х>0 х 41

A: Given that

Q: sin 7x 9. lim 9.h x→0 sin 3x

A: GIVEN limx→0sin7xsin 3x

Q: 1 lim, (e** - 1)sin-+9cos x . x0

A: Given: limx→0ex2-1sin1x+9cosx we know that  limx→0ex2-1=0 and  limx→0sin1x=-1 to 1 so,…

Q: (c) lim tan5% x2 sin 4x

A:

Q: sech? (In x²) dx /6 tanh (In x²) – tanh² (In x²)

A: Since you have asked multiple question, As per our policy we will solve the first question for you.…

Q: Sin²X+SIN 2X 1)Lim 5X x → 0

A: Here we find limit

Q: sin 7x 2: lim 0 4x

A: Topic = Limits

Q: 3x+1 lim 1 sin x)

A: Given,         limx→03x+1x-1sinx

Q: 3. lim (x – 1) sin ,= 0

A:

Q: lim ex-e" 2 sin x

A:

Q: 3.1) lim x→0 x³ –4x² sin² x

A:

Q: (cos(3x+ 1))² lim 7+ 4x

A: our objective is to find the limit