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Q: Q2) find the value of each limit sint 1) lim(- 1+cost +tcost C+cost x+xcosx 2) lim 0 sinxcosx

A: The limits of given functions are given as follows :

Q: 2) lim (x – T)tan5

A:

Q: How do I find this limit?

A: Here, since limit of numerator and denominator is 0 as t approaches 0, so , we use L'hospital's rule…

Q: Find tant r lim t

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Q: A tank initially contains 50 lb of salt dissolved in 250 gal of water. Starting at time t = 0, water…

A: A tank initially contains 50 lb of salt dissolved in 250 gal of water. Starting at time t = 0, water…

Q: 1S 章テ(メ) H+3x寸hen lim トーつ0

A: the objective is to find the derivative of the given function by using definition of derivative

Q: Find the limits lim e sin -!

A: Given

Q: 1. Find the lim F(t), where sin(3t – 3) F(t)

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

Q: 3* Evaluate (a) lim sin y and (b) lim y x-1 Vx +5

A: we have to evaluate the following: a)  limy→π3 siny b) limx→-13xx+5

Q: Find lim (2+x)" * using L'Hôpital's rule. 1/x

A: Given the given expression is limx→∞2+x1x.

Q: Evaluate: lim, 0 sin 2t t³ (t-1)²

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Q:

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Q: Let Fexy=4 Find Lim FAt and Lim FEX) X->2* 2 Does l tM fe) exist? Why zis FM cON tin-noss at X=27…

A: Answer

Q: 8r + 5tant Find lim t>0 sint

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Q: Fin d the limit. lim 5x° メーッ0 Sin 3x tanx

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Q: Find lim. Sin (X/y X-T/4

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Q: ts sum. cos (an) If an=1000,evaluate lim %3D anta n=1

A: This question is related to topic series of real analysis. Solution is given below

Q: Evaluate the limit.

A: To Evaluate the limit. limh→0 sin h5h We know that, limx→0 sin xx = 1

Q: の3 Find lim メy <xiy)-s(0,01 x+y² along the curve y=x²

A:

Q: Q.5 (a) Find radius and height of right circular cylinder of largest volume that can be inscribed in…

A: (a) First draw the figure,   Let r, h, V be the radius of base, height and volume of the cylinder…

Q: 2t – 1 Evaluate lim,, tan-1, e> - t - 1

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Q: 3* Evaluate (a) lim sin y and (b) lim x→-I /x + 5

A: To evaluate: a) limy→π3 sin y b) limx→-1 3xx+5

Q: 15x 5. Find lim using special limits. X→0 sin 3x

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Q: Find the limits

A: We first try to find the limit by substitution

Q: Evaluate limx=0+ e(1/x)

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Q: E. Use L'Hopitals's rule to find lim (2 – r)tan(r=/2).

A: Topic = limits

Q: Find the limit. sin(x – 3) lim х>3 x* + 5х — 24

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Q: neither lim f(x) nc

A: For the limit  fx and gx , take the condition . For function fx, fx=2 if x≥00 if x&lt;0 The limit…

Q: a" +b" V lim /x AND= Vab tan x fii lim Anao e 2.

A: Given: iv)limx→0ax+bx21x iii)limx→0tanxx13

Q: tanx - x x-0 x - sinx 1. lim

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Q: ах Determine the values of a and b such that lim Vax +b – 3 = 5. x→0 bx

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Q: Q: find lim 1-cosz

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Q: Find the limit. lim est - 1 t-0 sin(t)

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Q: tan z lim is Select one: a. e b. 0 с. 1 d. -1

A: Given limx→01xtan(x)

Q: - Find the Lim;t: O Lim Sinx メー0 12ナメ3 E. 4) Lm sint2 sino lim 下-日

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Q: Given n ≥ 0;  explain that   limx→∞ fn(x)/(e^x) = 0.

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Q: f(2) is continuos if lim f(z) =f(z,)

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Q: Find the limit. est - 1 lim t-0 sin(t)

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Q: x+1 If f(x) = Solve to find lim f(x)? %3D Vx2+5-x'

A: Here is complete computation for your limit

Q: find the limit or explain why it does not exist

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Q: If f(a) = 0 and f'(a) = 6, find lim la + h) 2h %3D %3D

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Q: Evaluate the limid lim X'sin t X→o sin x?

A: We have to find limit

Q: sin' 2x d) lim- x-0 sin' 3x

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Q: Along the path x = e" find y +4xy lim (х.)- (1,0) Зх — у -3 does not exist O -2 -3 2 0 30

A: Explanation of the answer is as follows

Q: 4. Find lim (sin¬ V)cschr. r0+

A: The given limit,         limx→0+sin-1xcschx

Q: f(2) is continuos if lim f(z)=f(z)

A: continuity: A function f (z) is continuous at a point z0 if all three of the following are…

Q: Find the limit. tan(12t) lim t-0 sin(4t)

A: