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

Q: 1 Evaluate: lim sin2(x) 4 TC 6 6.

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

Q: 3* Evaluate (a) lim sin y and (b) lim y x-1 Vx +5

A: we have to evaluate the following: a)  limy→π3 siny b) limx→-13xx+5

Q: (:) -*) Evaluate: lim 1 ба" sin 6.

A: Topic-limit calculation

Q: Find the limit of the trigonometric function lim 5 sin(x) I/2

A: Given  limx→π25sinx

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Q: What is lim tan(x)? Why? AY 10 8 6. 4 2 -0.S 0.ST, 0.5n, 1.5a, 27 2.5m -4 -10

A: Given limit is limx→π2+tan(x) As shown in the graph of tan(x), as x approaches π2 from right side ,…

Q: tan( xy) lim (х.у) >(0.1) х"у+x = ? 1 (b) 2 1 (c) 3 (a) 0 (e) 1

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Q: Q:B/ Find lim, [tan x-sec x].

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Q: 2х + 1 29. lim x² – x X→-∞ - sin 2x 31. lim

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Q: Find values of a and b such that sin 3x + ax + bx³ lim = 0 x3

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Q: (iv) Find lim r 2ª – x² sin

A: Limits

Q: 1 1 7. lim X-0 (Arctanx)² x2

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

Q: 3* Evaluate (a) lim sin y and (b) lim x→-I /x + 5

A: To evaluate: a) limy→π3 sin y b) limx→-1 3xx+5

Q: 2 lim(cosx)x² =? x→0

A: Given: limx→0cosx2x2=limx→0cos2x2x

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Q: tan (3(x+h))-tan(3x) lim h→0 h

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Q: tan(xy) = ? lim .2. (х.у) >(0,1) х*у+x 1 1 (b) 1 (e) (d) - (а) 0 (e) 1 4 - |3

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Q: . What is lim tan(x)? Why? 2 AY 10 8 6 4 2 -1A -0.5 0.5T, 1.57 27 2.57, 37 -4 -6

A: 1) limx→π2+tan(x)=? 2) limx→0+f(x) =? and limx→0-f(x) =?

Q: tan nx 3) lim x→0

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

A: We have to find the value

Q: 1 1 X sin x+sin 2x Q3/ Find the value of (x) if5 -2 1= lim 3x -1 1

A: See the attachment

Q: V3r-1 7. lim X- sin? x-cos(2x)

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Q: Evaluate lim?→0  (1/sin² x)-((sin x)/(x³))

A: Solution: Consider the given limit function is limx→01sin2x-sinxx3 Using the property of the limit…

Q: QUESTION 9 x²y along the path y =3x2. Find lim (x.y)-(0,0) x+y?

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Q: 1 -is 2 + sin x The value of lim a) 1 1 b) c) 0 d)

A: "Since you have asked multiple question, wewill solve the first question for you. If you want any…

Q: 1. Find lim an 3(x+h)-tan 3x A. 3 sec 3x tan 3x B. sec? 3x C. 3 tan 3x D. 3 sec2 3x

A: limh→0 tan3x+h-tan3xh So here fx =tan(3x) Now we need to find derivative of fx with respect to x…

Q: -2x – 1 Find lim X+0 sin 3 sin()

A: Using formulae of limits

Q: Example 8 Prove that sin x lim = 0. X00

A: We have given a question they're asking for how do we evaluate limit for sine x over x when x…

Q: Find lim sin (4 T x). I -3

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Q: Evaluate: lim sin(2x) A) 2

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A: To evaluate: limx→∞π/xsin(π/x)

Q: 68. (x) = sec x %3D lim a. As x- f(x)→ b. As x→2 f(x) → /2

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Q: Evaluate lim sin(x)(x +2) 4 8 3x/2+8/2 8 O Does not exist

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

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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…