Determine if the following sequences converge or diverge. If the sequence converges, find the limit. If the sequence diverges, enter DIVERGES. (a) farctand an 3) (1) {sin (2) - (d) Submit Skie (you cannot come back)

Q: Select the correct solution sequence -4 lim x →∞ lim(–45) x →∞0 = −4 lim x →∞ -4 lim( X-8 -2 lim(e*)…

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Q: sinx Find the value of the limit lim x →0 2x

A: To find the value of the given limit.

Q: Find the limit.

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Q: State whether L'Hôpital's Rule applies or not. x² - 25 lim x-5 54x - x² Does L'Hôpital's Rule apply?…

A: We have to check weather the L'Hospital rule is applicable or not after that we have to calculate…

Q: Show how a formula for k'(x) can be found by evaluating an appropriate limit.

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Q: 2. Determine the equation of the tangent line to the curve f(x) = x100 + 100x, when x = 1.

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Q: how do you proof by the limit definition that the limit of x to 1 of the function…

A: Ans-We are given function

Q: Find each limit, if it exists.

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Q: sec x lim x/2 sec (5x)

A: limx→π/2 sec2xsec25x=limx→π/2cos25xcos2xlimx→π/2 cos25x=cos25π2=0limx→π/2 cos2x=cos2π2=0 Now by…

Q: 4n + (-1)" 4n +n existence of this limit using the definition in terms of e and N(c). State and…

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Q: 1 (i) lim

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Q: Calculate limits and explain why they converge or diverge, state what theorem you will use. i. limx…

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Q: cos x-2sinx 1. limx-n 3cosx -2 limx-3 X-3 3x6-x*+2x-3 limy--o 4x5+2x3-5 iv. lim,→-1(x³ limy--1(x³ –…

A: [i]

Q: Find the limit and discuss the continuity of the function.

A: Given  We need to : i) find the limit. ii) Discuss the continuity of the function.

Q: a. lim f(x) = %3D b. lim f(x) = %3D X-1 c. f(1) = %3D

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Q: can you find the limit, and if it doesn't exist can you put DNE

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Q: lim 5a? csc(r?) d. lim (1+3 sin(1/x))" с.

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