How did limx->π/2 = sin (2x) / x become 0?

Q: 2 cos(4x) – 4x2 – 2 lim - I→0 sin(2x)- x2 - 2x

A: We have to evaluate the limit limx→0 2 cos(4x) - 4x2 - 2sin(2x) - x2 - 2x

Q: limx-->0 sin3x/ex-1

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Q: lim (cos(9x)) (+) +0+x

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Q: Guess the value of lim x 0 sinx/x

A: We try to find the limit by substitution  But 0/0 is indeterminate form.

Q: lim x-->0 (sin(2x^3))/(3x^2)

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Q: х-tanx 2. lim х30 1-со 3 3. lim sinx lnx = 0 x→0+

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Q: lim x approaches zero, sin4x/sin3x

A: Given,

Q: sin(4x) 8. Compute lim x-0 tan(3x)

A: The solution are next step

Q: 1+x V1-x sin-1(x) [3] limx-0

A: To evaluate: lim[x→01+x-1-xsin-1(x)] Solution: lim[x→01+x-1-xsin-1(x)] On simplifying further we…

Q: limx→0  (x^2+3) / (1−cosx)

A: given example is, limx→0x2+31-cosx

Q: lim (cos(9x)) (+) x-0+

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Q: will lim n-00 In(x)dx lim fn(x)dx?

A: Given that, fnx=2n2x;x≤12n2n1-nx;12n<x≤1n0;1n<x where , fnx on 0,1 It is possible to take…

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: lim tan^-1 x divided by x where x is 0 would that be considered undefined?

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Q: limx->0(sinx/3x)

A: The given expression is,

Q: 2 2- limx-1 sin(x3-1) x-1

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Q: tan 3x 18. lim 1-cos x 19. lim -0 tanx

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Q: tan x B:: Find limx-0

A: Limit of the function

Q: x+sinx 2. limx00 x+cosx

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Q: why is limx->0[x^4 * cos(2/3x)] not equal to zero? I thought that if I plug in zero to x^4 it makes…

A: Given that: limx→0x4.cos23x

Q: x-sin x' A- Find limx-0 1-cos x.

A: We will apply the L'hospitals rule because the limit is of 0/0 form.

Q: Evaluate sin 0 – 1 lim 0 - T/2 In sin 0

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Q: How do I find the derivative using the formula: Lim h-> 0 F(x+h) - F(x) / h?  Please show the…

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Q: tan (3x) lim x→0 sin (2x)

A: Given query is to find the limit of the expression.

Q: lim a sin(1/2),

A: Given,           limx→0xsin1x

Q: l = lim x→0+ In(x)

A: No, its wrong. you are correct limx→∞ln(x)=-∞…

Q: tanx-sinx 1) limx→0 x3

A: To evaluate the limit: limx→0tanx-sinxx3. Solution: We can find that it is 00 form. So, here we will…

Q: lim sin(5x) csc(3x) X-0

A: Formula: LimX→0[sin(ax)/x]=a

Q: 3 lim z? sin(-

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Q: 2x-arcsinx 7. lim x→0 2x+arctgx emx. 8. lim х-0 пх In(1+3*) 9. lim x→-o In(1+2*)

A: There are multiple question so as per Bartleby policy  I have answered two question, Kindly ask…

Q: 2x sin-1 lim х30 еx — х — 1

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Q: tan x-x lim х-0 х-sinx

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Q: cosxsin2x lim 1-sinx x- 2

A: limx→π2cos x sin2x1- sinx=limx→π2cos x 2 sinx cosx1 - sinx=limx→π22 cos2x  sinx1 - sinx…

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

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Q: 2) lim sin 4x

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Q: 7- sin-(e*) 2 lim V1 - e2x

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Q: lim sin3x / tan2x =? x-->0

A: find the value of

Q: Lim -> 0 Sin3ycot5y/ycot4y

A: limy→0       sin 3y .cot 5yycot4y   =limy→0    sin3y tan4yy tan5y 00farm…

Q: find lim x-> 0, cos (12x)-1 / 3x

A: Given,              limx→0cos 12x - 13x Move the term 1/3 outside of the limit because it is…

Q: sin5x(1-2t)dt (6) lim

A: limx→0∫xsin5x1-2tdtx Let  I=∫xsin5x1-2tdt=t-t2xsin5x=sin5x-sin25x-x+x2

Q: cos(x)-1 lim-0 sin(x) limx-0 %3D = 1

A: Substituting x=0 in cosx-1xwill result in indeterminate form 00. Use L'Hospital's rule,…

Q: limx→0 sin 2x 2x²+x

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Q: lim xi-

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Q: 1-cos(2x) limx→0 sin² (3x) tan x-sin x lim - Evaluate: а- b- x→0 sin³x

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Q: sin 2x B) Find: limx→0 2x2+ x

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Q: 2х а) lim -1-2x (sin 2x)+² - et b) lim -4x - cos x

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Q: limx¬1 x(1 – cos-) x→1

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Q: (2sinx-sin2x' 1. lim x-sinx

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