Evaluate the limit. sin? 3t lim t-0 O DNE O 0/0 O 3 9,

Q: 6 Which limit can be interpreted as 2 dx? (2+1)= dr? A. lim E (2) 2 (zk+1)° -k=1 n+00 O B. lim E (1)…

A: Given query is to find the correct option of the limit.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim Cos n-00 2n i= 1

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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: C. Find the following limits: 1) limy-o 2ytan(n/y) sin(n-02) 2) limo2→n Tøl-V

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Q: Find the limit (if it exists).

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Q: Find the limits. Enter "DNE" if the limit does not exist. x? – y lim (1,y)→(2,2)

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Q: Find the limits

A: Given:

Q: Use a graph to estimate the value of the limit. Then, use l'Hospital's Rule to find the exact value.…

A: Here, I am solving 1st two parts and for the remaining part please post the question again. Part A…

Q: O The limit function of h. )= n'Sinx i+n?x is?

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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. sin? 3t lim

A: Given: limt→0 sin2 3tt2=00 (Indeterminate form)By applying the L-Hopitals rule we find the limit of…

Q: 2sin?y 4) lim y→180° 1-cosy

A: Apply the limits and evaluate

Q: ind the following limits using I sin(Tx) lim -0 tan(ex)'

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Q: So sin(t²) =? lim, »0* O a. Limit does not exist O b. 1/3 O c. 00 O d. 0 O e. 2/3

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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: q//// find the limit of the following: 1- lim x* cos n-0 2- lim vx? + x³ sin n--0

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Q: lim, yo(Vr? + ¤ – r)=? .2 a. Limit does not exist O b. 1/2 O C. 00 O d. 1 O e. 0

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

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

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Q: ´sin(2x)-1) lim x→n/4 \ cos²(2x)

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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 limits sin (x? – 4) lim x - 2

A: Given the limit: limx→2 sinx2-4x-2

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

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

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Q: Evaluate the limit: sin t lim t

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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: Aetermine whather im sin y exicts If it exists, find the limit ?

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

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Q: What is the value of the limit below? (e0z –1-6z)(1- cos(z))(2x- sin(2x)) sin(2z)) lim Lütfen birini…

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Q: Evaluate the limit lim (x,y)→(1,1) V(a - 9). sin(x – y) x2 – y? O A. OB. OC. 3 OD. 5 O E.

A: option B is correct

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

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Q: sin(60) lim 0→0 0 + tan(80)

A: Using the property of limit, value of asked limit is solved. sinx/x =1 at x tend to 0 tanx/x = 1 at…

Q: Find the limits, if they exist, or type DNE for any which do not exist. 2x2 lim (7,y) (0,0) x2 + 2y?…

A: For different different paths , we can find limit.

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

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Q: lim, y00 (e + x) =? O a. Limit does not exist. O b. 0 OC. 0 O d. 1 O e. e

A: To evaluate: limx→∞(ex+x)1/x

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

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Q: Q6. Compute the following limits if they exist. sin z tan r (a) lim z0+ VI (b) lim (c) lim_ tan r-…

A: Part (a):-  Given that  limx→0+ tanxx

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

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Q: Find the limits Sialve) , 3) - e* § + lim Sin(yt) Cos (3t) -1 も→D Sin? (4t) lim Yet ニ + lim Sin…

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Q: O The limit function of h. )= n'Sinx is ?

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) ● (esti -j+e-6tk + lime⁹ti…

A: We need to find limit.

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

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Q: Use the following trig identity to rewrite the limit: Use sin(A+B) = sin(A)cos(B)+sin(B)cos(A) and…

A: We have to find

Q: 2. Evaluate the following limits if they exist: sin(r² + y²). (a) lim (1,9)(0,0) 2x2 + 2y² Ty (b)…

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Q: 4. Evaluate the limit: lim sin arctan x V2 b. 2 1 d. DNE a. C.

A: Evaluate the given limit.

Q: Evaluate the limit. 3 sin? 2x lim х—0 8x2

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Q: 1 – cos(x² + y?) x2 + y? - lim (x,y)→(0,0)

A: Given lim(x,y)->(0,0)1-cosx2+y2x2+y2 find out the limit if it exists

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

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Q: Evaluate the limit, if it exists. If not, enter DNE. T十6 3 lim 工3 1/6 help (limits) I-3

A: The given limit to evaluate is  limx→3x+6-3x-3 When the limit is applied directly…

Q: y² – e®y - lim y+00 4y² + e7y 2 cos(4æ) – 42? - lim I→0 sin(2x) – x² 2 2x

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