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

Q: Find the limit, if it exists.

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Q: Find the limit, if it exists.

A: Here given as

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

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim x+0 x2 + 6x

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

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→ (0, 0) x² + y8

A: Given: limx,y→0,0xy4x2+y8 To find the limit if it exists or to determine exists or not. Limits in…

Q: Find the limit. (If an answer does not exist, enter DNE x + 1 – 2 lim x→3 X - 3

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(5t). lim (e2i + 5t +…

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Q: Evaluate the limit.

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

Q: Find the limit. If the limit does not exist, type DNE. 2z – 2ry? = lim (1,9) → (-1,1)

A: We will find the limit.

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

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim t-0 eSi + sin(2t). -) +…

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Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) lim 8x sec ax…

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

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Q: lim (sin?x x-0 x2

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

Q: ■ Find the limit.

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Q: Find the limit, 1 lim xž sin(-) 3

A: Given: limx→∞x32 sin1x   L'Hopitals rule: limx→cf(x)g(x)=00 or ±∞∞ then…

Q: Find the limit. (If the limit is infinite, enter 'o' or '-co', as appropriate. If the limit does not…

A: Given that: limx→∞(e-x+4cos6x)

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) lim X-0-

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - X lim X→2 Vx + 2 – 2

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim ху (x, y) (0, 0) x²+ y8

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 2. lim

A: For a one-sided limit, check for any vertical asymptote (if exists).

Q: Find the limit lim (r+ e").

A:

Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. If the limit does not…

A: Answer(a): The given limit is: limx→∞e-x+3cos7x Now, apply the limit property…

Q: Find the limit, if it exists

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim 7 cot(x) X-R

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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: ху? lim xy? cos y (x, y)→(0, 0) x2 + y*

A: limx,y→0,0xy2cosyx2+y4Along…

Q: Find the limit, if it exists

A:

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: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) lim x+x* csc x

A:

Q: Find the limit, if it exists, or type 'DNE' if it does not exist. eVla²+2y? lim (x,y) (-1,-4)

A: find limit

Q: Find the limit, if it exists.

A: We have to find the limit: limx→∞ cos1x We know that 1∞=010=∞

Q: Find the limit: lim, 0+ x(ln x)²

A: The given expression is: limx→0+x(ln x)2 Which is in 0×∞ form. So, convert it into ∞∞ form.…

Q: Find the limit. (If the limit is infinite, enter 'o' or '-', as appropriate. If the limit does not…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim arctan(e*) x - co

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim 5 sin(x)

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim arctan(e*) X- 00

A: arctan(ex) is continuous everywhere for all x belongs to real number. Now as x tends to infinity,…

Q: Find the one-sided limit L (if it exists). (If an answer does not exist, enter DNE.) sin(5x) lim бх

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Q: Find lim,0 sin (-:). 6 Enter I for o, -I for -o, and DNE if the limit does not exist.

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.)  lim Δx→0+…

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Q: Find the limit. lim sin-2x i

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x2 cos()

A: We know that ,The algebraic computations of limits using the squeeze principal ,which is given…

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

A: