Determine the limit: 12 x+ 1 tan(2 x) lim 3 sin(3 x) X- 0

Q: Find the limit of the trigonometric function.

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Q: Find the limit. (If an answer does not exist, enter DNE.) sin 4x lim X 0 sin 7x

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Q: Evaluate the limit: sin 7z sin 4x lim sin 4z sin 2r

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Q: Find the limit.

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Q: Find the limit. 15) lim V3 + cos2 x A) 2 16) lim (3 sin x - 1)

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Q: Find the limit using lim sinx 1. X-0 x 5) lim sin(sin x) x0 sin x A) -1 B) 1 C) does not exist D) 0

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Q: Use continuity to evaluate the limit. lim 4 sin(x + sin(x))

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Q: What is the limit of limx→ sin x? 1/2 1 -1 10

A: Given

Q: Evaluate the limit sin x/x as x approaches 0 when x = -1

A: We have to evaluate

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

A: We have to find the limit: limx→π cos x2+sin x This is determinate form of limit so we need to put…

Q: Construct a table to find the indicated limit.

A: Limit x tends to 2 means the value of the variable approaches towards 0 from both sides that is from…

Q: Use continuity to evaluate the limit. 5 + Vx 28. lim sin(x + sin x) 5+x

A: To evaluate:   using continuity.

Q: evauluate the limit lim x→0 (sin2 (3x))/ x2

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Q: Evaluate the following limits. 2x sin- x 1. lim х-0 еx — х — 1 2. lim (sec x)cot × X-

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Q: Find the limit of the trigonometric function .

A: The given limit limx→0cosx-sinx-12x can be evaluated as, limx→0cosx-sinx-12x=cos0-sin0-12×0…

Q: Use continuity to evaluate the limit. lim 9 sin(x + sin(x))

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

A: limx→0tan(2x)tan(πx)

Q: Evaluate the limit sin 9x lim x →0 sin 3x

A: We can solve the problems by finding the value of the function at  the given limit.

Q: 2x sin-x lim х—0 еx — Х — 1

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Q: Find the limit. sin 5x lim X0 3x

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

A: limx→0cos2x-1sinx

Q: Find the limit by rewriting the fractio sin (x2 +y'2) lim 12 12 (х,у) — (0,0) +y

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Q: Evaluate the following limits: 1. 2 sin x - sin(2x) -x-sin x (a) lim 25 -t2 (b) lim 15 tl 11m,…

A: Hi, since there are multiple sub-parts in the questions posted, we will answer first three subparts.…

Q: Evaluate the limit: sin(13x) lim I-0 tan(7x)

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Q: Determine the following limits analytically.

A: limx→0  3tanx - 8x3x + sin2xlimit = ?

Q: 1 Lim x→0* x0x 1 sin x

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Q: find the limit. lim x→∞ e-x (sin x)

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Q: lim x → 0 cosx−1 -1 X

A: The given limit is: limx→0cosx-1x   As we know that; cos-θ=cosθ

Q: Find the two limits: sin 2x lim r-T/2 COS x

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Q: Find the limit: (а) lim tan 3x x2 sin27x

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Q: 1 lim sinx x2 x→0

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Q: sin² x lim 0-x X

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

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

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Q: Find the limit. sin(x°) lim

A: to find limx→0sinx9x

Q: Find the value of a for which the limit sin (ax) – sin x – x lim x→0 is finite and evaluate the…

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Q: Find the limits lim x→1- sin-1x

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Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

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Q: Q1- Evaluate the limit :- 1- lim - ( - cos) (1+ sin ) ) (1 + sin±)

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

Q: Find the limit. sin(x) – 9x lim x+00 x+xe-x

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Q: Evaluate the limit. sin(x + h) – sin x lim

A: Applying the limit: Since the limit is in 0/0 form, L'Hospital rule can be applied.

Q: Find the limit. lim (2 – x) tan(3«) %3D x>1

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Q: Evaluate the limit sin 9x lim I0 sin 3x

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

A: Limit calculator:      x→πlimcos2(x-tan x)We need to check the value of tan x at x=π,i.e. tan π=0

Q: Evaluate the following limits if they exist. 1 — х — е" a) lim 2(1 — е") b) lim (1 + sin x)'/= sec x…

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Q: Find the limit. lim tan(9t) t→0 sin(3t)

A: before we solve the following question we need to know the limit of the trigonometry function which…

Q: Find the limit using tables sin x (use radians) : lim -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01…

A: From the given problem: yx=sin(x)x So, At x=-0.1 y-0.1=sin(-0.1)-0.1=0.99833 At x=-0.01…

Q: Evaluate the limit. sin (x) sec (x) lim 2х

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

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Q: Compute the following limits if they exist. sec r - 1 (a) lim I0- r3 x – sin x (b) lim I0 x - tanr 2…

A: We are entitled to solve 3 subparts of first question so, I am providing you the solution of the…