Find the limit: lim (e-3t i+ t2 j+ cos 2t k sin?t

Q: Find the limit (if it exists).

A: If the vector valued function is of the formr(t) = f(t)i + g(t)j + h(t)kThen its limit is given…

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

A:

Q: The value of the limit lim is x-0 sin x а) 0 b) 1 1 c) d) ∞

A: Given options are wrong.  Limit will be e^(1/6).

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² sin2(y) lim (x, y)→ (0,…

A: To evaluate: lim(x,y)→(0,0)x2sin2(y)x2+8y2

Q: Find the limit. (If an answer does not exist, enter DNE.) sin 0 lim 0 → 0 40 + tan 0

A: Given limit is in indeterminate form , just use the L'Hospital's rule and find the required limit of…

Q: Find the value of the limit lim SINX X 0 2x 02x (a) 0 (b) 1 (c) 1/3 (d) 1/2 (e) 1/4

A: Here we have to find the limit of the function. In the first step use the property of the limit:

Q: Find the limit (if it exists).

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Q: Find the limit of the trigonometric function.

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Q: Find the limit. j+ tan(5t) k sin?(t) lim e-6t i +

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Q: find the limit lim l-cos(t, ス→ dx

A: Given: limx→01-cos xx2 To Find: Value of given limit

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 9- xy lim (x, y) (1, 2) x² +…

A:

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

A: We have to check

Q: Find the limit. t2 j+ sin(7t) k sin2(t) -2t ¡ + lim t→0 e

A: We have to find the limit: limt→0e-2t i+t2sin2t j+sin(7t) k

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 (e ut+t g +tan(6t)k) lim -4to it- Sin2t)

A: We have to find the limit.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(9t), lim t-0 e5i +…

A:

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 limit. O 75 π O O' O O I 00 D8 - 150 lim sin¹. 5 x X→ 0 ¹7x

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Q: Evaluate the limit. (). lim ( sin i + cos 3' j + tan(t)k

A: Limit (f1 i + f2 j + f3 k) = Lim f1 i + Lim f2 j + Lim f3 k

Q: Find the limit as t-➜0 of r(t)=

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Q: Q2: Find the following limits 3. lim sin3y cot5y y-0 ycot4y

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Q: 1-cos r-r² 1) lim,-0

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

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1 (e⁹ti + sin(6t)j + e-7tk…

A: To find, limt→0e9ti+sin(6t)6tj+e-7tk

Q: Find the limit. (If an answer does not exist, enter DNE.) sin 2x lim X→0 sin 7x

A:

Q: Find the limits in Exercises

A: Given: limx→∞x57+x-3x57+cos x   ……1

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

A: We have to solve given problem:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (ebti + Sin(9t)j+ e-6*k…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lime4ti + sin(2t)j + e-2tk…

A: To find the limit of given vector function.

Q: Find the limit, if it exists, or type DNE if it does not exist. (x + 18y)2 А. lim DNE (x,4)→(0,0) x²…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (2³²₁ -j+e-6tk lim t0 e³ti+…

A:

Q: Find the limit. j+ tan(2t) k sin?(t) -3t i + lim t→0 e

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 3s 4, s 8 -

A:

Q: Find the limits

A: Limit: limθ→∞cos θ-1θ

Q: Find the limit, if it exists: 11 sin(x? + y?) lim (1,y) → (0,0) ² + y? (Enter DNE if the limit does…

A:

Q: Evaluate the limit using L'Hospital's rule e – 1 lim I+0 sin(2x)

A: The given limit is in 0/0 form.

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

A:

Q: nd the limit: lim (e-3t i+ j+cos 2t k) sin2t

A: We have to find limit

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

A:

Q: | ind the limit: lim,1+ i[(z – 1 – i)/(z² - 2z+2)

A: Find the Limit: limz→1+iz-1-iz2-2z+2 Solution:- limz→1+iz-1-iz2-2z+2=limz→1+iz-1-iz-1-iz-1+i…

Q: Find the limit, if it exists, or type DNE if it does not exist. eV(1z²+1y²) _ lim А. (x,y)→(1,–2)…

A: Given the limits function

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (e2i + Sin(/e) j+e-k 7t

A: Limt-0 (e2ti+sin(7t)j/(7t) +e-5tk).

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (e³ti+ sin(4t)j + e-6tk…

A:

Q: Find the limit

A:

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

A: Given that lim rtt→π=limt→πti+sin tj+cos tk   If the vector is of the form rt=gti+htj+ftk Then, its…

Q: Let sin(2t) F(t) = + cos t, Find the limit lim F(t).

A: We have to find the limit

Q: Find the limits

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1. (²4. -9CK) lim + sin(4t)…

A: Given, limt→ 0e7ti+sin4t4tj+e-9tk

Q: e-²-y² – 1 lim (7,y)→(0,0) x2 + y²

A: To find limit using polar coordinates limx,y→0,0e-x2-y2-1x2+y2

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 6t + sin(8t) i + e-4°k lim…

A: To find the limit of the given vector function.

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

A: