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

Q: Find the following limit: sinx 2) lim x-0 tan4x

A: apply L'hospital's rule (take the derivative of numerator and denominator)

Q: Evaluate the limit tan x lim x →0 2x

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Q: Find the limit, if it exists.

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Q: Evaluate the limit: sin(2x) cos(5x) lim

A: Given,           limx→0sin2xcos5xx

Q: Evaluate the limit lim (sin(4x + 5) + 5) - I 00

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Q: lim x →3 2+e* sin(7x)+x+1

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

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Q: Find the limit. sin(2x) lim

A: To determine the value of the limit.

Q: Evaluate the limit sin 2x lim 20 7x

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Q: 6. lim (sinx)*

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Q: lim 4 x→0 2 1 +sin (2) cos sin

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

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Q: Evaluate the limit.

A: To find: limx→π6xsin3x

Q: Find the limits sin (Vr – 3) lim х — 9

A: Limit of a function is the value it tends to when the input value tends to some value. A limit is…

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

A: To evaluate:   using continuity.

Q: Evaluate the limit.

A: Given limx→0tan4x9x

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

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Q: Evaluate the limit: lim sin(2x) cos(7x)

A: To evaluate: limx→0sin2xcos7xx

Q: evaluate the limit.

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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: Evaluate the limit: sinx lim x→0 e4x – 1

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Q: Evaluate the limit algebraically: sin(2x) + cos(x) cos(x) lim

A: Given : limx→π3sin2x + cosxcosx

Q: How to evaluate the attached limit.

A: The given limit is,

Q: Find the limit.

A: Given- x→lim0 sin3xx To find- the value of the above limit. Formula used- Using the standard form as…

Q: Compute the following limits if they exist. sin x - (b) lim x→0 x tan x |

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Q: Find the limits in Exercis

A: To evaluate: limx→0sin5xsin4x Solution: Given,limx→0sin5xsin4x On simplifying further we get:…

Q: Find the limit. sin(4x) lim 5x

A: Solution: The objective is to find the given limit

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

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Q: Find the limits

A: sin always lies between -1 to 1

Q: Evaluate the limit using L'Hospital's rule if necessary: sin(4x) lim x→0 sin(8x)

A: Limit is  1/2 Explanation is given below

Q: Find the limits sin 2x lim x00

A: The graph of sin 2x is obtained by horizontally compressing the graph of sin x but the range of the…

Q: Find the limit, if it exists. sin(4x) x Ilm

A: To find the following limit, if it exists.limx→∞ sin 4xx

Q: Find the limit, if it exists

A:

Q: Find the limit. lim sin(ax) . x-0 sin(9x)

A: If we plug x=0 in the limit then we get:

Q: Find the limit. sin(x - 5) lim x* + 4x - 45

A: Given : limx→5sinx-5x2+4x-45

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

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Q: Evaluate the limit. 5 sin(x) – 5x lim x3

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Q: lim x→3 2+e* √sin(7x)+x+1

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Q: Evaluate the following limits: x + sinx lim х-оо 2х + 5 lim - х-0 tan3x 1- Vx lim x-1 1 - xX x. Sinx…

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Q: sin 2x lim

A: Consider the given function, limx→∞sin2xx since is a continuous periodic function, as sin2x∈-1,1. as…

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

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Q: Evaluate the limit: OUIS b) limx¬0° sin³x sin x-tan x

A: Given function is: b). limx→0sin3xsinx-tanx Simplifying it: Applying L'Hopital Rule:…

Q: sin(2x) 1) lim

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Q: lim x→0 for sin(4x)/3x

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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: Evaluate the limit: sinh x2 – x2 lim x→0 sinhx − x

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Q: Find the limit sin(3x)cos(4x) lim→0 x+xcos(5x)

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

A: