Expond ag (cora) in pous g (x-2) uing Taylm's Thersm Thusem

Q: lim 2 tan 2/ TC 2. 8IN

A: Solving the problem by finding the value of the limit.

Q: formet Prootice2. finkch proof thae lim nå =1

A: Show that limn→∞ n1n=1

Q: QI (4) Idemtify and the domain range for the folowing finctions: i fu,v)=\usinv i f(p49)= -

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Prove that = Aatilag (Elog Xi) An. %3D

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Q: lim z?= 1 0 2 0 -2 O -1 0

A: To find limz→iz2.

Q: A store is having a sale in which the cost of any item is 17% off. Select two expressions that can…

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Q: )(2n) for conplex number sequance show that if lm En=1 then 3no fN such that for for Hn 7 no o Znto.…

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Q: (+) Xと(+)

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Q: lim b =

A: Given, limx→c b

Q: 5. lim ) t-0 Ve+3

A: Given:       limt→01tt+3−1t

Q: Solve using either Roll's Theorem or Mean Value Theorem:

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Q: Q. AfX-Y where X,Y € Z* , and 0<X <23 and, 0s Ys59, X is hour of clock and Y is minute of digital…

A: Given: f: X→Y , where X is hour of clock and Y is minute hand of clock It can be clearly observed…

Q: D if x,Y,2 inclepndent Variables and z function in X, Y which achieves the eguation find az…

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Q: Lim Vn' +n

A: Explanation of the answer is as follows

Q: (d) Find the rank and nullity of A. rank(A) = nullity(A)

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Q: 5. Find the domain off(z-In(e*-3). Then find f-1 and its domain.

A: f(x) = ln(ex-3)The function "ln" is defined for positive numbers only.Hence, x should be such that…

Q: lim z+0 z2 - 2sinz + 2x O 1 O 12 O 0 O 20

A: Let L is the limit value of given function .

Q: sin(n!) lim n→00 n2 +7

A:

Q: 9. lim 4-h 3h-4h 10. lim h-h' Jx-3 11. lim

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: lim I→0 √2+11-√11 I

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Q: ind domain f furmetn and evaluate funton 2 : -1 Ju-su

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Q: tunction is eontinuas f(x) = [2x²2x4 X-2 at 2 x = 2

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Q: Solue for X.

A: Given that a circle and tangent line length and  we find value of x. Here i attached solution of…

Q: 5 tan x If f(x) then f'(x) = f'(4) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the linearization at x = a. 1 f(x) = a = 5 (Express numbers in exact form. Use symbolic…

A: Given:Fx =1x3  ,a=5To find:Linearization at x=a of FxMethod:Lx ≈ fa+ Fι a x-a

Q: =[cosh" (xe- coshza-X 4. Cosh 20- X 2.

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Q: 2. Triangle FGH with verlices F(1,8), G(5, 7), and H(2, 3): y-x F' G' H' - 177

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Q: x : x is a natural number less than 10​}

A: Write in explicit form

Q: Find the linearization at x = a. f(x) = , a = 7 (Express numbers in exact form. Use symbolic…

A: Lx = f(a)+f'(a)(x-a)

Q: 2 X² test for goodness of fit Show that - 2log 2

A: Hint: First find the expected Frequencies for 6 faces. Then, apply the chi-square test of goodness…

Q: 2 5- f (net) Find f'(net) 1+e-Anet-1 Answer: f'(net) =(1– f²(net))

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Q: 25) Find tue intervel of Canvergencce (e~-sg" :::: (x~3) g fue power seriag n-l n=0 (Be Sure to…

A: Given series is ∑n=0∞(x-3)n-13n-1

Q: 6 continuity:- Test the con tinuity of the following faneti or -27 st #x at x=3 nd x=-3 fcx)

A: First we'll find limits at the respective points and then check for continuity.

Q: that of C Mean Value Theorem Find the values Satis fy the of Deriratives the for f(x)=x²+2x -/…

A: We have to find the value of C

Q: lue Theorem apply on th es because f(x) is differe es because f(x) is contin not apply because f(x)…

A: Mean value theorem: f(x)=x2+x-2x-1      =x2+2x-x-2x-1      =x(x+2)-1(x+2)x-1      =(x+2)(x-1)(x-1)…

Q: Gven that Pe3 -3 3 f On Compore

A: 3. Given that, P=52337-1, Q=5-31237. (i) Obtain the value of PQ as follows.…

Q: feal= 4-x², x70, Finel!- U show thaf f has B Domoin fcos ? Hiw on inverse Funfon? fcay ?

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Q: Find the linearization at x = a. 1 f(x) = a = 9 (Express numbers in exact form. Use symbolic…

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Q: lim sec In zis 2x Select one: a. T b. 2. C. d - 2/2

A: Given,

Q: lim (n + 1 – Vn² n) n 00

A: Given query is to find indicated limit.

Q: lim vn² +1-n

A: Given limx→∞n2+1-1

Q: lim (2,1) (0,0) (1 + (x² + y²) In(2² + y²))

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Q: lim (2n + 1)´ 2 n→ 00 п +1

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Q: The theorem is attached. Thank you.

A: We prove above theorem by using given result.

Q: u + 4 lim u--4 u3 + 64

A: First simplify the given expression then  calculate the limit.

Q: counterexample.) Prove If ACAndamscaoha OEA →-(@EB).") and AnC=Ø and AnD=Ø, then C=D. then for any =…

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Q: It Sino = and o is in avuadrant 1l, Fina the exact values Of the other feve trigo nome tric…

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