olve 1 1+xsin limy-0 1+xcos-

Q: 3 – lim[sec x · tan x]

A: given limit                         limx→π2[secx.tanx]

Q: 1-V lim 1-VE sin r lim 0 +1

A:

Q: lim (cos x)x² 1/x2

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Q: 23. lim (1 + x)cotx

A: As you have asked for question 23 only. So I am solving that only.   Let f(x),g(x) be two functions…

Q: VE -1 lim エ→1 エー1 = 1/2

A:

Q: 3n Find lim„→∞ (1+)" . Hint: Apply L'Hopital's rule.

A: Please refer the attached image for complete solution.

Q: பாதுக lim sec 20 ー1

A:

Q: 7 arctan(x) Calculate lim 0 x3 + 6x

A:

Q: 13) lim (n z 2-70 24) lim e- é- ース x - sinx 34) lim (Csx - Cotx)

A: Wherever applicable we used L'Hopital rule

Q: Limit tant sec 2t 3t

A:

Q: sin ax lim is x0 tan bx a A. 4 В. а С. О

A: To determine the value of limit   limx→0  sinaxtanbx

Q: eax lim x → 0 In(1+ bx) -ах e

A:

Q: lim tan 2x

A: It is given that, limx→0tan2xx   The objective is to evaluate the given limit. So, Apply the…

Q: limx→0  xcos(x)-sin(x)/x^3

A: Given: The limit limx→0xcosx-sinxx3, To find: The value of the limit.

Q: sechx+cshx b) prove that e2x cshx-sechx

A:

Q: lim sec(2x) ((x tan ثم أختر الاجابة الصحيحة؟ أحسب الغاية التالية

A: We will find the limit directly using the limit theorems.

Q: tan x (iv) lim

A: L =limx→0(tanxx)1x2 1∞ form

Q: iz° + 1 lim z→-i\ z2 +1 ' z--i

A: To evaluate:

Q: lim sec(2x) tan (x)

A:

Q: Find the limit

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Q: السؤال 1 lim iz?-z z-- z2-1 i o -i O 1 0 -1 O

A:

Q: Lim cot(3X cotlôx) X- 3

A:

Q: 2. lim x sec 2x

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Q: (a) lim tanh(x) (b) lim tanh(x) (c) lim sinh(x)

A: As per our guidelines, we are supposed to answer only the first three subparts. Kindly repost other…

Q: COS x -. Use Squeeze Theorem to show that lim 0. x→+0 cosh x

A:

Q: lim Sinh(x) -X L'Hospitals rule

A: Given:        limx→0sinhx-xx3 L'Hospital rule:    If limx→af(x)=0 and limx→ag(x)=0 then…

Q: Evalute the limit of lim x->0 (tan 7x)/(sin 8x

A: Rule of Limitlimx→0 tan x x = 1limx→0 Sin x x = 1

Q: i) lim 5 sin x %3D

A:

Q: sint 1) lim(- 1+cost tcost 1+cost

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the limits

A: Consider the given function, limx→∞x2+25-x2-1 rationalize the function,…

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: lim cob lo) -の

A: Given : limθ→-∞cosθ3θ

Q: 2 sin(z) – sin(2z) lim -10 z- sin(z)

A: We use L'Hospital rule to solve this limit problem.

Q: Lim sec(2x). tan(3X)

A: We have to find the limit.

Q: lim(z – 1) csc TZ Is

A:

Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

Q: lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N <

A: Use the definition of limit

Q: Find the limit. 5+x+ sin x lim 6 cos X 5+x+ sin x lim (Type an integer or a simplified fraction.)…

A: Explanation of the answer is as follows

Q: lim 0 coso

A:

Q: sin(nt lim In z 1 lim (1+

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Q: lim Vx2+1-Va²+1 4-, 5- lim 1 x+2 6-, lim sin 3x X-a -

A:

Q: sinh x Evaluate lim et

A: We have to find limit of given function limx→∞sinhxex We know, sinhx=ex-e-x2 limx→∞sinhxex

Q: Lim tan 7X+25inX 3+X

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Q: iz° + 1) lim z→-i\ z² 2 +1,

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Q: cotx -cos x Evaluate : lim (z– 2x)*

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Q: lim %3D X2 -マメ

A: The solution for the above question is as shown below.

Q: lim sinz/23

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Q: lim sin(2z) = z-/3 %3D /3 2. 1/2

A: We need to find limx→π3sin2x