(¹) बु (3) Lim Lim Xot Lim X-T Sinx 1- cos x Sin x √x T-X Sin x C

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

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Q: cos(x) - 1 lim 10 esin(z)-1-x

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Q: 1+sin x lim

A: Given that,  limx→∞ 1+sin xx To evaluate  limx→∞ 1+sin xx=limx→∞ 1x+sin xx=limx→∞ 1x+limx→∞sin xx=0…

Q: lim sin(x)d.x (x2 + e2)2

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Q: tan(4 x) lim x>0

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Q: Find the limits

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Q: 1- cos(x/6) lim II

A: Solve the limit

Q: lim -1 x+1 tan t sec 2t lim 3t

A: We know limx→0tan xx = 1 limx→af(x)·g(x) = limx→af(x) · limx→ag(x)

Q: Evaluate (i) lim (1 – tan 6) sec 0

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Q: QI Find lim tan(x)cos(x)

A: Find out limx→π2-tanxcosx=?

Q: sinx lim X→0 5x a. 3(1– co x) lim b. (sinx) (1- cosx) lim С. x²

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Q: 9) Use lim (a) lim sinx sin6x x+0 sin4x = 1 Find the limits. (b) lim 1-cos²x X-0 X

A: Answer (a)limx→0​sin4xsin6x​Multiplying and dividing the numerator by 6x and denominator by…

Q: H.W. Find x-sinx 1. lim X-0 x-tanx

A: “Since you have posted a question with multiple questions , we will solve first for you. To get…

Q: Зх + 1 1 lim x→0 sin x 5 2 3 1 2

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Q: 2 |-cos X lim b. X - Sin x

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Q: lim 1-e*) X-0 x sin x

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Q: lim x →0 In(1+³) x.sin x²

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Q: lim x-0 1 - cos x sin x

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Q: (1) lim,o In (sec x) 3x (2) lim, (tan x)*

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Q: 5. [Essay] Find lim tanx-x x² sinx sign x-0

A: Evaluate: limx→0tanx-xx2sinx

Q: x+1-cos²(x) 3sin(x) 7. Find lim

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Q: lim x→0 x + tan x sin x

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

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Q: [3sin(θ)*cos(θ) - θ]/ [tan(θ) - θ]   lim θ -> 0

A: Let  f (θ) = [3sin(θ)*cos(θ) – θ] / [tan(θ) – θ].Find the limit of the function as θ approaches 0.

Q: 1 1\x (x + sin lim X x→+0 X.

A: Given: limx→∞(x+sin1x)1x

Q: (x+h)³-x³ lim h→0 h. sin(3w) lim w-0 2w sin(h)(1-cos(h)) lim

A: We know (a+b)3 = a3 + 3a2b + 3ab2 + b3 limx→0sin xx = 1 limx→01 - cos xx = 0