Evaluate the limit. In x lim x -1 sin 8TX

Q: 4 lim X-0 x2 2 1-cosx

A: Given- limx→04x2-21-cosx To Find- The value of the limit.

Q: Find the limit, if it exists.

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Q: Find the limit, if it exists.

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

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Q: Find the limit. lim sin(9x) 5x

A: We are solving the first question and for the next question post the question again and also mnetion…

Q: Find the limit, if it exists. sin(8x) lim

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Q: Find the limit, if it exists.

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Q: calculate the following limits (a) lim x->0 (e^x-1)/(sinx) (b) lim x->0^+ xlnx

A: Part(a) Given limit

Q: Find the following limit.   Lim  x→0+          ( 2x sec( 3 π/2 - x))

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Q: Find the limits lim e sin -!

A: Given

Q: Evaluate the limit: lim z-10 sin (4z)

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

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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: 1+x-e lim -0 1-cosr

A:

Q: Evaluate the limit.

A: To find: limx→π6xsin3x

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

A: To evaluate: limx→0sin2xcos7xx

Q: Find the limit. lim sin-12r i ||

A:

Q: Evaluate the limit sin 2x lim 7x

A: limx→0 sinxx = 1

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: x + 2x lim х—0 х2 — 2х

A: Given : limx→0x2+2xx2-2x

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) lim sin (x)

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Q: Evaluate the limit sin 3x lim 7x

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Q: Evaluate the limit sin 3x lim 5x

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Q: Evaluate the limit sin 8x lim I0 sin 3x

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Q: Evaluate the limit.

A: To Evaluate the limit. limh→0 sin h5h We know that, limx→0 sin xx = 1

Q: Find the limit by L'Hospital's rule (whenever app 1 cos(x)-1+x a) lim- 2x4 b) lim

A: Explanation of the answer is as follows

Q: Find the limit. sin(2x) lim 3x

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Q: Evaluate the limit sin 3x lim 9x

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Q: Find the limit. lim sin(5x) 6x

A: Given: limx→0sin5x6x

Q: Find the limit. lim tan5x In2x = x→0+ %3D

A: Given :   limx→0+ tan5xln2x

Q: Find the limit, if it exists. sin(8x) lim х

A: The given limit to calculate is

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. (If an answer does not exist, enter DNE.) lim tan-1(x4 – x*)

A: Given:

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: Find the limit lim (e-* cosx) COSX

A: Range of cosx is [-11]

Q: Find the limit, if it exists. lim X 00 4X + sin x 2.

A: Our aim is to find the limit of the following:limx→∞  24x+sinx  = ?

Q: sin 3x x-0 tan 4x 3. lim

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

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Q: Find the limit. lim ,2 x cos

A: limx→0x2cos1x = ?We know:   cosθ ∈ -1, 1

Q: does this limit exist! lim X-7+00 X(zt sin 7x) x+1

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Q: Find the limit. (If an answer does not exist, enter DNE.) sin 8x lim

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Q: Find the limits lim x→1- sin-1x

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Q: Evaluate the limit. If needed, enter 'oo' for o and '- oo' for – o. - lim x → 47+ Sin x

A: Given: limx→4π+5sinx

Q: Evaluate the limit sin 9x lim I0 sin 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: Find the limit. (e-sx cos(^) lim X- 00

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Q: Find the limit. lim sin(9t) i+ e-tj+ 6k

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Q: calculate the limit.

A: