sin 5z-sin 3z 14. lim,» +0 sin z

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A: Answer and explanation is given below.. For 17 and 18 please repost the questions

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

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Q: lim sin Zy Fan3y ア

A: Limit y tends to 0.

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A: To evaluate: The limit limz→0sin 2z·cot 8z z·cot 4z . Formula used: limz→0sin azaz=1 limz→0tan…

Q: find the given limits

A: The given limits,

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A: Given function is, Finding the limit, This is an indeterminant form. So, use the L'Hopital's rule.

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

Q: tan 0 (2) Lim = 1 %3D

A: We first expand the series of tan x and then proceed as explained below:

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Q: lim cot(z) %3D - 10 -1 0 3 0

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Q: Find the limit.

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Q: sin 3y cot 5y Q7// Evaluate limy-0 y cot 4y

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Q: (sin z)(sec z+ cot z) da

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Q: proof

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

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Q: (2) lim (1+2sin(Vz)]cot =

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

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Q: tanx Lim メーマ0

A: If we direct apply this limit  It becomes 0/0 form  So we apply d'hopital rule

Q: sin(z) - lim

A: The given limit is limz→0sinzz. Evaluate the limit of the given function as follows.…

Q: sin² (x) x…0 COSX-1 7) lim cotx + CSCx X-T 5) lim cosx+1 6) lim X-7 sinx 8) lim(--)

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

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Q: limx>0 (x-sin(x))/xsin(x)

A: Given,          limx→0x-sinxxsinx

Q: First and second derrivative of: x Arctan x-In √x^2 +1=y

A: Given expression: x Arctan x-ln x2+1=y It can be written as follows: x tan-1 x-ln x2+112=yx tan-1…

Q: sin 3y cot 5y lim y→0 y cot 4y у cot

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Q: sinar lim,-1 r-1

A: Given limit is  limr→1sinπrr-1 Evaluate the limit. limr→1sinπrr-1=00 indeterminate form

Q: lim sin (0 + sin(0))

A: limθ→πsinθ+sinθ

Q: limit of x approaching 0 from the right of ((sin(x^2))^x )

A: Given   apply squeeze theorem

Q: Find the limit

A: Given limit can be written as Dividing both numerator and denominator by , we get

Q: sin x + sin y 1. Sine limits Verify that lim (x, y)(0, 0) x + y

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Q: sin 3x 4- lim sin Sx

A: Given query is to find the valueof the indicated limit.

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

A: Given,

Q: x+1 1-x In [cosh (x+1) + sinh (x+1) lim 2tanh x=1- lim_ In x=1+ l

A:

Q: sin 3y cot 5y Evaluate limy-0 y cot 4y

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Q: lim sin (2 – 2) cot² (x² – x – 2)

A: We have to find

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…

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A: Limit problem....

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A: Given the limit as : limx→0 1tan-12-1x2 We need to find the limit by using L' Hopital's Rule. Let's…

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A: We need to evaluate the given limit using Squeeze theorem. limx→0+sin(lnx)ln(sinx)  Using squeeze…

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A: To prove tanx1+cot2x=1cosxsinx consider the left hand side  tanx1+cot2x=1cosxsinx we know that…

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A: Answer is mentioned below

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A: Answer is given in step 2

Q: acrsin x:! csc-1 x: arccos x: sec-1 arctan x: cot-lx: : [0, T] :: [0, 플] : (- 1 : (0, 27] :: [-플, 이…

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A: We need to find limx→π3sin2x