hint: tant tan(6/2") tan(2t) tan t 2" A equals tan(6) B converges

Q: allsweCI -5e" dx converges 4x to

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Q: 2 sin x+1 dr 3 -dx +1

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Q: 07) If y = tant ,x= tan²t at t =. Find by using Chain Rule

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Q: | Example 8.12. Use the Trapezoidal rule to estimate the integral exª dx taking the number 10…

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Q: 1) Does cos" cn) Sin*™(n) converges uniturmly on D, : [0, K14] ?. And on

A: Given sequence of function is, fnx=cosnxsin2nx. It can be written as, fnx=cosxsin2xn. If common…

Q: Find the intervals where the function f(x) = 2cosx + 1/ sin2x, 0≤x≤ 2π is concave up.

A: Let's solve.

Q: Find the intervals where the function 1 f(x) = 2cosx + sin2x, 0 ≤ x ≤ 2π is concave up.

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Q: sin (nx + 3) f (x) = is convergent point wise to zero function. %3D n – 1 ylgn O İhi

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Q: (sin(x)²) dx Is it converges?

A: Given integral is ∫0∞sin(x)2xdx firstly we will find the simplest form of integration. We have…

Q: Find o tan(x)da Select one: O Diverges 0 1

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Q: Determine whether it converges or diverges. You must provide justification for your answer. |…

A: Answer is yes its convergent .

Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(æ')…

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Q: What type of discontinuity does f(x) = cos () have at x=01 O continuous at point O jump O…

A: x -2 -1 -0.9 -0.5 -0.2 -0.1 0 0.1 0.2 0.5 0.9 1 2 Cos(1/x)…

Q: Determine whether or not the infinite series below converges.

A: Divergent test: If

Q: Determine the convergence of the integral tan x dx. (In(cos x))? COs x

A: The given integral, ∫π3π2tan xlncos x2dx

Q: List the x values of the discontinuities of the function below: y = In (tan²(x)) over the interval…

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Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(x)…

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Q: Evaluate / 5 sec2 *dx tan(x) 05 In(|tan(x)|) + C Oln(tanx) + C 05 In(x) + C 05 tan(x) + C

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Q: Perform a test to determine if it converge or diverge -1 x 2sin 1 dx 1– x -1

A: The function is given by: ∫-112sin-1x1-xdx If the function fx=2sin-1x1-x is positive, continuous and…

Q: Determine whether sin r dr. is convergent.

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Q: Find all æ values on the graph of f(x) = 2x – 4 cos æ for 0 < a < 2n where the tangent line has…

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Q: QUESTION 3 Determine the convergence of the integral tan r J, In(cos r))? dr. UTM UTM

A: We have to find the given integral is convergent or divergent.

Q: sin (nx +3) S,(x) =- is convergent point wise to zero function. %3D п - 1

A: First one is true second is false.

Q: Find the limit of tan(4x)/sin(6x) as x approaches zero.

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Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = -2…

A: Differentiate the function f(x)=-2cos x-x with respect to x to obtain the value of f'(x) and equate…

Q: sec?x dx 1- tan x b. Determine whether the integral converges or diverges.

A:

Q: How many periods of the function y = tan x are there between -27T and T? %3D [?]

A: We have to find

Q: -dx converges or diverges. Justify your claim. determine if the integral 1+ cos? r

A: Introduction: When the integrand becomes discontinuous at any of the limits of the given…

Q: 37. Show that sin converges. Hint: Use sin x 0. n=1

A: To  show ∑n=1∞sin1n2 converges using sinx≤x forx≥0.

Q: n.Sin (t Converges or diverger

A:

Q: 3. Prove that -2/3 dx diverges by showing that х lim -2/3 dx = 00 х

A: Given limit is Since one of the limit of integration is infinite , so we evaluate the limit as…

Q: use Series to evaluale lim sinhx²- x 2 メー→ メ Cos x 3.

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Q: of P converges Find the Value which the integral absoluley condition. Sin () dx

A: To find the value of p for which the integral ∫1∞sin(1x)xpdx  converges absolutely. The improper…

Q: dX Show that Xe* converges/diverges.

A: Given : an  = 1 / x e(x)^2

Q: rmine whether sin z is convergent.

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Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(x)…

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Q: Use substitution and partial fractions to find the indefinite integral.

A: The given integral is ∫sec2xtan2x+5tanx+6dx. Substitute t=tanx  and dt=sec2x dx in the above…

Q: V2x + sin? r Determine whether the improper integral da converges or diverges. Show all your steps.…

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Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = 3 cos…

A: fx=3cos3x Differentiating with respect to x, we get f'x=3-sin3x·3=-9sin3x Now,…

Q: 00 Show that sin п- converges. Hint: Use sin x 0. п-1

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Q: Find the limits sin(3t) lim In(sin(3t)) i+ In(tan(4t))" j+tln(3t) A t→0 sin(4t)

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Q: sin(n) A) B) none of these sin(n) has NO HOPE of convergence since lim #0

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Q: Ek=0 R! 2.show that converges to a function on R

A: we have, ∑k=0∞xkk! ⇒ak=xkk!⇒ak+1=xk+1k+1! Now, By ratio test  1R=limk→∞ak+1ak=limk→∞xk+1k+1!×k!xk…

Q: - Show that sin converges. Hint: Use sinx <x for x 2 0.

A: Given: The series ∑n=1∞sin1n2, To show:  The given series is convergent.

Q: Find the limit of sin2x/sin3x as x approaches to 0.   a. 1 b. 1/2 c. 0 d. 2/3

A: here we must know about  L'Hopital's rule to solve the given problem which is used whenever we…

Q: converges or div rge 2n+ Sinln)

A: The given series is  ∑n=1∞ 12n+sinn We have to check whether the series converges or diverges.

Q: Evaluate the integral. "1/3 tan (x) sec*(x) dx

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Q: - In-2. Hence show that In = 01 tan" x dx = n - 1

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Q: V2x + sin? æ Determine whether the improper integral dx converges or diverges cos? x

A: