(c) cos lim (tan x)°os x x-(플)-

Q: 1-cos x lim sin x x→0

A: Given: limx→01-cosxsinx

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A:

Q: 2. Find if possible: sin(nx) a) lim x-4 x2-16 b) lim x (sinx+(cosx)³) (x2+1)(x-3) c) lim,--o (cosx)

A: a) Given that limx→-4sin(πx)x2-16we have to find the limit of…

Q: 65. lim (cos x)/

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Q: sin ( T cos? x lim- TT COS X X' 2.

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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: 1 2. lim cOs X -

A: The given function rewrite as

Q: Rx+2sinx Q2.a) lim sin (). sec (in 3+x

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

Q: 1. x² tan( + 47) + 2 tan-1x lim =? (a) 1 (b) -2 (c) -1 (d) (e)

A:

Q: 1-cos 2x lim x→0 x2

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

Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO FO x-5 • lim х-5 х2-25 = 10 FO

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Q: 2 cos x tan 7x 2b) find lim

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Q: (a) lim sih 7x (b) lim x 0 sin 7x x - 9 (c) lim x-9 x - 3

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Q: et sin x — х - lim x → 0 5 cos x – 5 ||

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

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Q: tan ax x→0 sin bx f) lim ; a±0, b± 0

A: Given limit is : limx→0tanaxsinbx To find the value of the given limit.

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: x- cosX X- COS X 4. lim,

A: Our Aim is to evaluate the limits given below:-limx→∞x-cos (x)x-(i)

Q: 1- lim (sin x)

A:

Q: 1. 5.lim cos(x) sin(x)

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

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: et - e* lim,0 2 sin x

A: Consider the given function, limx→0ex-e-x2sinx put the value of limit into the function,…

Q: 2y-n у-п lim п cos y y-

A:

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

A: limx→π2-etanx

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: TT sin ax if x < f(x) D- COs ax if x 2 find the value of a so that Screen Shot 2021-10-05 at 8.32.50…

A:

Q: lim sin(1/r),

A: We have to find limit

Q: 3 lim z? sin(-

A:

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: 1-x c) lim- x1 1-Vx 121 sin x d) lim (Hint: Use a calculator to make a table.)

A: c) limx→11-x1-xd) limx→0sin xx

Q: 2x tan x+ cos I COS T lim

A:

Q: d) lim cos x sec (5x)

A: The given expression is :  limx→π-2cosx sex5x  Let,  x+h=π2  As x→π-2 so, h→0  cosx sec5x=cosπ2-h…

Q: 4x 3-limx-0 tan5x sin(cos y) 4-lim, y- 2

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Q: (x-sin x) A- Find lim,-0 1-cos X/

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Q: 2. (a) lim T-cos e (b) lim. -70 In R tim (0) メーール

A:

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: (b) Find lim, 0 xª cos 2.

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Q: e* – 1 lim x-0 tan 2x

A: Given: limx→0ex-1tan2x

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

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Q: 2x tan -1 I + COS (b) lim

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Q: cos(x) - 1+ lim 14x4 Limit %3D

A: We need to evaluate the value of the following limit limx→0cosx-1+x2214x4

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: (1- cos.x)? cosx) limx-0 x sin(x2)

A:

Q: e* + e-x – x² –- 2 lim sin? x – x2 х — x→0

A: To evaluate: The limit limx→0ex+e-x-x2-2sin2x-x2. Calculation: Use L'Hospital rule to evaluate the…

Q: 1-cos(x) lim x→0

A:

Q: Evaluate

A: Our Aim is to evaluate the limit given below:-limx→0tan (2x)x-(i)