2x+3 lim x → 0 sin 3x

Q: Cos x-1 2- Show that lim = 0

A: We have to find the limit of the given expression. this can be done as follows:

Q: (4 x + x) x²-2 Find lim co

A:

Q: 4e-6x +2 92. lim x→-0∞ 7e2x +5e3x че + 2 2l-) 3(-0) + Se de + Se 1

A:

Q: sin 2r tan 3r (a) lim

A: We have to find

Q: sin 3x lim |x| X-0

A:

Q: sin?x-1 10. lim sinx-1 2

A: Let f,g be functions which are continuous and differentiable. If while computing the limit…

Q: 1- cos 5x lim x? 2 x→0 а. -2.5 b. -12.5 С. 12.5 d. 2.5

A:

Q: sin(a2 – r) + x Secondary Topic 2. Compute lim

A: In order to solve this question you need to know the following notions

Q: tan 8 TX lim sin 7x) x→0

A:

Q: "Find the values of a lim X-2 sin(ax-2a) = 3 X-2

A:

Q: tan²(x – 2) +2 sin(x – 2)4 Evaluate: lim

A:

Q: 1- sin r 6. Find lim 1/2 CSC x Csc x

A:

Q: x* –1 lim 6 sin x For B = - which one is B? x→0+

A: We have to use series expansion here.

Q: Find the limit

A: Here the given limit

Q: tan (xy) = ? lim (х, у) ->(1,0) у + 2хy

A:

Q: sin 2.r =? lim Vr3 + r² - x -1 2 112 112

A:

Q: tan( xy) lim = ? 2. (х.у) -> (0,1) х*у+х (c) (с) 3 (d) - (е) 1 (а) 0 (b)

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: sin(x²) 1+0- e2r – 2x – 1° Evaluate lim

A: This question is related to limits, we will solve it using given information.

Q: In(cos ax) ? limx-0 In(cos bx)

A:

Q: tan (xy) lim = ? (х, у) ->(1,0) у+ 2ху 1 1 (b) (e) (c) 를 (d) i (а) 0 (e) 1 3 ||

A:

Q: If limz→-3+38i (22 + 6z) = x + iy, what is the value of x

A: Given that z = -3 + 38i So, z2 = (-3 + 38i)2 = 9 - 228i + 1444 = 1453 - 228i

Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the…

A:

Q: In(cos ax) ? lim x-0 In(cos bx)

A:

Q: 8. lim ) 1 x-0 xVx+1

A:

Q: x+3 5. lim -x-2 6. lim (x-2) 4x-6x+3 4. lim 16x +8x-7 x+1/3

A: 4.…

Q: 8 sin (1r) 3. Find lim 5.r

A: In the question we have to find lim x→08sin(4x)5x

Q: 3. Use the definition to prove that limr→∞ x² 00.

A: Given : The given function is ;  f(x) = x2 To prove :  By the use of definition, we have to prove…

Q: Find the limits

A: We have to find the limit: limx→2sinx2-4x-2 We know, limx→0sinxx=1 since, limx→0sin00=1 So making…

Q: Find the correct answer and show detailed and complete solution. lim (sec³ 2x)cot² 3x x→0 2 а. 3 b.…

A: The objective is to evaluate the expression, limx→0sec32xcot23x

Q: learly justify answer. lim (3x – 6) sin X -2 В.

A:

Q: 1. Evaluate the following limits. 4x – 7 3x2 – 2r – 5 1 c. lim I-1- |I + ¤|

A: We put the limit .

Q: 4nx tan(- an %3D 7 + 16n lim an

A:

Q: Q3/Solve THREE only 30 M 6V-6V2x-1 5) lim a+2|-2 sin(x-1) 1) lim 2) lim *-2 3) lim 4) lim 1+2x-3 -1

A:

Q: If 0 < a < b, find 37 (br + a(1 – x)]' dz lim

A:

Q: 2 sin (2 – 2x) + 3a? 4x2 – 4x Evaluate lim and write your answer in simplest form.

A: limx→12sin2-2x+3x24x2-4x

Q: Q5:The value of: * sin (5x) lim I-0

A: We have to find the value

Q: 4. lim x² +2x+5) X-2

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

Q: tan(xy) = ? 2. (х.у) -> (0,1) х*у+х lim (a) 0 (b) (e) (c) (d) - (e) 1 3 -14

A: L'Hospital's Rule: If you have a some function f(x) or g(x) that both approach 0 as x→c…

Q: sin 2x tan 3x (a) lim

A:

Q: sin(x) lim = 1. x-0 3x

A: This is not true

Q: lim (sec' x- tanx) O T/2 00

A: We have to find the value of given limit: limx→π2sec3 x-tan3 x We know that sec x=1cos xtan x=sin…

Q: lim (x – 3)² – 4 = -4 x→3

A: Given: limx→3 x-32-4 Limit of a polynomial function f(x) at x=a is defined as limx→af(x) = f(a)

Q: lim x→→3 x³-7x-6 2x³-11x²+12x+9 ³√x -1 lim X→1 X-1 sina sin 2α lim a-0 1-cos a

A: To evaluate the following limits.i limx→3 x3-7x-62x3-11x2+12x+9ii limx→1 x3-1x-1iii limα→0 sin α sin…

Q: x²y + x³y² lim (x,y)-(-2,1) x² + y2

A:

Q: Lim X+3sintx 1- Cos X

A:

Q: 7. *Find the values of a and b lim sin(ax-2a) x-2 = 3 %3D x-2

A:

Q: 4sinx pute lim,x»n sin2x

A:

Q: 10 sin(4x³) 12x8 lim X→0

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

Q: tan(хy) = ? x²y (х, у) -> (0.1) х*у+х ¯y+x lim

A: