Only one of these calculations is correct to evaluate the limit lim CSCX Select one: O im sinx +x lim CoSx -1 lim V ON X cosx +sinx sinx X sinx (1 sinx -x lim O lim CoSx-1 -sinx lim +ON X COSX+sinx lim sinx -D X sinx x sinx+2cosx O im sinx -x lim cosx-1 = lim sinx X sinx COSX O im - CSCX ∞ – x = (0 X+0 O lim lim =1-1=0 sinx COSX PREVIOUS PAGE NEXT PAGE %3D

Q: L'Hopital's Rule applies to which of the following limits? Indicate all the apply. Select all that…

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Q: 1 1 lim v→s(vー5 ビ-25 v² - 25, 2 lim w→ -1- 1-w W-3

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Q: Prove lim x³ X→3 = 27 using the 8, & definition of limits.

A: The δ-ϵ  definition of limits:      By the definition, limx→c f(x) = k if for any ϵ > 0, there…

Q: Evaluate the following limits. If necessary, enter INF for ∞o and -INF for -∞. a) lim (6x⁹ + 2) = =…

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Q: t Find the limit of the following: a. fim 4x-x-3 5x-3x b. lim 6x + 5 c. lim 3x-8 sint d. lim 2x-7…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate and state limit laws used

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Q: Find the one-sided limit (if it exists). lim *-(1/2) + 13x² tan x

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Q: QUESTION 2 Calculate the following limit: lim (x² – 3x – 10)(*-5) X-5+ QUESTION 3 6

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Q: Use a table of values to evaluate lim 2x³-250 Olim x+5 x²-25 2x³ - 250 Olim x+5 x²-25 2x³-250 Olim…

A: a^2-b^2=(a-b)(a+b)

Q: Find the one-sided limit (if it exists).

A: Given:limx→2-x2x2+4=limx→2- x2limx→2- x2+4=2222+4=48=12

Q: 8. lim 9. lim x-1 x²-3x-10 x-5 ²-3x-4 10. lim - x-4x²5x+4

A: We have to find the limit if exist

Q: x²-3x-10 a) lim x-5 x-5

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Q: lim x-0 2 – Vx + 4 32х lim x-00 3 - 8x

A: Consider the limits,

Q: Find the limits

A: limx→-∞tan-1x

Q: Find the limits in Exercise

A: We have to find the following limits -  limθ→0-(1 + csc θ)

Q: 4x2+11х-3 (i) lim x→-3 9—х2 (ii) lim 2 -1 *-4 х36 6-х Vx2+9-V2x2+9 (iii) lim х-0 VЗx2+4-V2х2+4

A: We will solve the following

Q: Write some real life applications on limit

A: For instance, measuring the temperature of an ice cube sunk in a warm glass of water is a limit.…

Q: 8. Find the following limits: 4-de* a) lim X+0 xex b) Jim (-)

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Q: can you please help prove this

A: The objective of this question is to prove the mathematical statement: lim sup(-x_n) = - lim inf…

Q: sin² x lim 0-x X

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

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.