Find the value of the limit lim sin 6 t t - 0 sin 4 t (a) 2 (b) 1.5 (c) 1.7 (d) 1.9 (e) 1.8

Q: Evaluate the limit using L 'Hospital's rule: lim x to 0 e^x -1/sin(12x)

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Q: Find the value of the limit lim tan 2 x (a) 1/3 (b) 2 (c) 1 (d) 4 (e) 3

A: To find:

Q: Find the limit, if it exists.

A: Here given as

Q: Find the value of the given limit. lim I 0 tan(4x) I

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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 the limit. sinx cos 4x lim x-0 x + x cos 5x 4 A) 을 B) 0 530 C) D) Does not exist

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Q: 1 1 (b) lim x-0 'tan x e* – 1 -

A: =?

Q: Find the limit. lim (e-7* cos(x) X- 00

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Q: Find the limit. cos(x) – 1 +x2 lim x-0 2x4

A: It is given that, limx→0cosx-1+12x22x4.

Q: Find the limit. lim (1+ sin(3x))/* x→0+

A: Given: u=(1+sin(3x))1x We want to find  limx→0+u=limx→0+(1+sin(3x))1x Since we know that u=eln(u)…

Q: Find the limit. lim t→0  (e4t − 1) sin(t)

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Q: Evaluate the limit.

A: We have to evaluate the following limits- limh→0sin4h4h

Q: Find the limit of the trigonometric function.

A: Given: limx→π2sin x To Find: The limit of the given trigonometric function

Q: Find the limit, if it exists: 1 lim (7,y) → (0,0,0) 6 tan x² + y² + z² (Give the answer in exact…

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Q: Find the limit lim y sin x (х,у) — (0,1) O 1 00 O No limit

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Q: C- The result of the following limit is lim 1-0 sin t² t f

A: limt→0sin t2t

Q: lim (sin?x x-0 x2

A: We use L-Hospital Rule to evaluate this limit.

Q: Use L'Hôpital's Rule to find the limit. 5. lim x0 e2- xr- 1 5 cos x

A: l'Hosptital's rule provides technique to evaluate the limit with indeterminate form.

Q: What is the limit of (e^x-e^-x)/( sin (x)) as x approaches 0?

A: we have find the value of limx→0ex-e-xsin x

Q: Q2.) Find the limit lim X+x cos x 1. X→ 0 sin x cos x

A: We find limit x+ x cos x lim X → 0 Sn x cos x

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

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Q: Evaluate the limit.

A: We have to evaluate the limit: limh→0sin 9hh We know that limx→0sin xx=1 So making same angle of…

Q: Pls help ASAP

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

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Q: 8) Find the limit (exact value) a) lim Vy - 3y – y ytoo tan ax b) lim- x→0 sin bx (a ±0,b± 0)

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Q: Find the limit. lim t-0 sin(6t) ; + e-tj + 4k i t

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Q: Find the limit. sinx cos 4x lim x-0 x + x cos 5x A) 3 B) 0 C) D) Does not exist 4/5 -/2

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Q: Use​ l'Hôpital's rule to find the limit of limθ→0     7 cosθ−7/2θ.

A: Given limit is in the 0/0 form so we can use the L'Hôpital's rule

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 limit. lim (e-4t i - j+ sin(6t) k sin?(t)

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Q: Find the limit lim (t), where F(t) = (-1 v1+i-1 sin (2t) – In (t + 1) \ 3t 31y Find the limit or…

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

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Q: Find the limit using L'Hospital's Rule. e 2x – 1 lim x→0 sin x

A: We use L hospital's Rule

Q: Find the limit. e-4t i + lim t→0 j+ tan(5t) k sin?(t)

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Q: a. Graph h(x) = x2 cos (1/x3) to estimate limx-->0 h(x), zooming in on the origin as necessary.…

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

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

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Q: f(x) lim sin(5x) X I 0 -0.25 3 2 Estimate the limit numerically or state that the limit does not…

A: We have to find out limit

Q: Find the limit

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Q: Find the limit lim, n cos(x +x) / sec(x) + 5

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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: Evaluate the limit sin 2x lim z+0 9x

A: Answer and explanation is given below

Q: Please show step-by-step solution

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Q: Evaluate the following limits.

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Q: lim,++∞ sin°(x)+cos(x)+r? Find the limit

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Q: Find the limit. (e-2x cos(x) lim

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

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Q: Use the limit lim 0-0 sin e 1 to find the value of lim 0-0 1-cos 0

A: Given limθ→0 θsin θ=1⇒ limθ→0 θ1-cos θ=00