Evaluate the following: (d) / 10!n=dx

Q: 1 + x + sin x 47. lim 3 cos x 49. lim Vx + 4 cos (x + T)

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Q: sin(4x) is 4х The answer to lim Select one: а. 1/4 b. 0 1 С. 4 d. 0 е. 1

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Q: Question 9 Find n so that T, (trapeziod rule with n subintervals) is guaranteed to approximate |…

A: ∫05cos(2x) dx       to within 0.01We have to calculate for the n

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Q: 1 lim cos 0 00 sin 20

A: Given,  limθ→01-cosθsin2θ.   Apply L'Hopital's Rule:…

Q: 40 Using the reduction formula, we have! sin"xdx = %3D

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Q: 1+sin x-cos x Find limx→ а. 0 b. 1 c. +0 d. -00 e. None of the above

A: We will apply L' Hospital rule for indeterminate forms of limit

Q: (cos 0 -1) 4. lim 5. lim sec(20 + n)

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Q: 1 lim is equal to: (t – 1)2 '

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Q: b) lim, . sin(8z)

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Q: i) lim cos x-0 7 πCOS²x x²

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Q: If y=tan(arcsec/x), then dy/dx is sec2(arcsec/x) A x-1 B 2(х- 1) x-1 2(x-1) sec-(arcsec/x) D 2x E…

A: Let's find.

Q: Ix2 The inequality 1- sin x <1 holds when x is measured in radians and x<1. sin x Find lim if it…

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Q: 2. By hand, showing all steps, determine sin 4x sin 5x lim x sin 3x

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Q: 1- Sin 2X dx CDS X

A: Consider the integral  ∫1−sin2xcosx−sinxdx

Q: 1. limg sin(x)

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Q: Evaluate the limit.

A: limt→01-cos2tsin23t

Q: tan2(3 + Ax) – tan? 3 (c) Compute lim by interpreting it as a derivative. Ar+0 Ar

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Q: Question 2. Find lim sin (1 – 3e-/")e-/2. (Justify your solution.)

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Q: 3. KIN 2 13² cos x V1+sin x dx

A: The given integral, ∫0π2cos x1+sinxdx

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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: In(cosh x + sinh x) + In(cosh x – sinh x) = - 1 -1 Leave Question 2.

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Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the…

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Q: sin(x) is The solution for lim 1- cos(x) O 1 O DNE

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Q: COs n lim

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Q: 15) lim cos (2x)

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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…

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Q: 05. lim, (e* - 1)cos x

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Q: sin(9x) (d) lim x – 7 (e) lim 7| (f) lim x8, COS

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Q: Q1: lim,»1 x(1 – cos-)

A: Evaluate: limx→1 x1-cos1x

Q: Q1 : limx¬1 x(1 – cos-)

A: To find the limit

Q: Question 7 (1 point) lim_ sin (2x) = %3D Blank 1:

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Q: lim + sec"() TT

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Q: sin x and coS x are periodic functions with period Tt. True False

A: Given statement is "sinx and cosx are periodic functions with period π."

Q: :(3:+a- (メ+) tanx tHany 1-tanx tany to

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 4 lim sin(x) х>0 х 41

A: Given that

Q: lim 2?e --00 1- cos(2x) im

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Q: QUESTION 2 If y-sin-¹ z, show that d'y Hence, deduce that -(1)-(2) - <- 0. dz = M dz dz

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Q: 9) If y = sin(sinæ), then y' is: x + 2| lim (x +3) I→-2- x + 2

A: See the attachment

Q: Problem 1. (a) Show that that 1 – tanh² x = sech² x and use it to prove that sech(tanh x) = v1 – x².

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

Q: tan 3x lim sin 8x

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Q: 1 – cos 3h 39. lim h

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.