Consider the following limit: 3x sin a lim - -+0 cos a – 1 Which of the following expressions is an equivalent limit to the given limit, that is NOT in an ndeterminate form? 3 cos a + sin a lim sin æ 3x cos æ + sin æ – a – 3 sin a cos a lim (1 – cos a)2 COS 3 cos z lim I0 sin a -3x sin a + 6 cos a lim

Q: Compute the following limits if they exist. sec r – 1 (a) lim z-40- 23 I – sin r (b) lim 1+0 x - tan…

A: L. Hospital RuleIf limx→a f(x)g(x) = 00 or v6c6 formThen differentiate f(x) & g(x) and take…

Q: Use the Squeeze Theorem to evaluate the following limit: 2+ sin? x lim

A:

Q: Evaluate the limit: lim sin 5x sin 4x sin 4x sin 2x x→0

A:

Q: Use direct substitution to show that the limit lim sin leads to the indeterminate form 0-5п tan 0…

A: We have to find the value of limit of the given function.

Q: sin x (d) lim x→0 cos x- x

A:

Q: The value of the following limit is sec x lim x-(7/2)- 1+tan x 1 0 The answer is not mentioned O 00

A: limit value = ?

Q: Find the following limit or state that it does not exist. 2- cos x lim x-+0 cos 2x-6 cos x+8 Select…

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Q: D-the result of the following limit is 1² lim x-0 In (sec x)

A: Let's evaluate given limit.

Q: Use properties of limits and the following limits to find the indicated limit.

A: We have to evaluate the following limit: limx→02 sin x+cos x-13x To find the above limit we will use…

Q: 65. lim x→0 sinx(1 - cos x) x²

A: Limit

Q: Evaluate the following limit. lim costi-2 sin -i+ lim costi-2 sin

A: We have to find the limit: limt→π cos(t)i-2sin-t2j+tπk

Q: Evaluate lim sec cos x+ 7 tan 4 sec x

A: Given :                                     limx→0seccosx+πtanπ4 sec x-1       Let's plug in the…

Q: TOLLOWLNY tan x+ 4 tan 2x - 3 tan 3X Lim x°tanx i)lim| cos-cos COS ....coS

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Q: 2. sinx+4 sin x-5 lim sin x-1 Xx/2

A: →When limit is of the form 00 or ∞∞, then L Hospital's rule is used. In this rule, take the…

Q: Determine the following limit: 17x sin(17x) - lim x →0 17x – tan(17x) -

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Q: 2. Find the limit of the following function sin(x - 4) lim- x-0 x- 2

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Q: Evaluate the following limits using appropriate methods: 1. lim tan-¹ (In x) x+0+

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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.