Q4. Find the limit cos ec (t)-cot (t) lim- t

Q: lim cos G+5 +

A: limx→πcosx2+π4+12

Q: Evaluate the limit.

A: It is given that, limh→π21-cos3hh   It is known, that if we have limx→af(x)g(x) and after plugging…

Q: Calculate the limit: lim e + e- 2 : 01 – cos(12a) 36 b) 00 c) O1 d) O72 1. e) 72

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: x² - xy (x,y) (0,0) √√√√y If it exists, find lim Answer: .Write DNE of the limit does not exist.

A:

Q: The value of the limit lim a) 0 b) 1 c) d) ∞ 1 X x-0 sin x sin x 6 is

A:

Q: Find the value of the given limit. lim I 0 tan(4x) I

A:

Q: How do I find this limit?

A: Here, since limit of numerator and denominator is 0 as t approaches 0, so , we use L'hospital's rule…

Q: Let (7I – 21 for I<0, f(T) = 8, + 71 for z 20. According to the definition of the derivative, to…

A:

Q: Find the limit. lim e 3t i е j + Sin2 tan(5t) k) t 0

A: The given expression is,

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

A:

Q: Find the limit. lim 1→2(t i - 5 j + t² k)

A:

Q: What is the value of the limit below? (e2-1-2x)(3x - sin lim (3x)) Hー0 25

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Q: Find the limit. ey?, P-(5, 0, -5) lim -1 sin O 1 TT оо

A:

Q: Find the limits

A:

Q: Find the limit. lim √√x+5 cos (x + π) X-IA O A. A. -√√5- B. √√5-T C. 0 O D. 1 OE. The limit does not…

A:

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

A:

Q: 1. Find the limit: lim 1-e-2t 1t, ,1+t² tan t00 '1-t2

A: We need  to find limit.

Q: I/ find the limit of the following: 1- limx cos 2- lim V +x sin

A:

Q: lim; 0 (, cos t, In t). t+1

A: limt→01t+1, cost, lnt

Q: He sold his stock when t = 4. Compute the following (if it does not exist write DNE): Lim-4- J(t) =|…

A: Given,

Q: 3t-2 sin t+(e-1) lim +1

A: limt→13t-2sint+et-1t

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. (e-4t i + j+ sin(5t) k sin?(t) lim

A: We have to solve given problem:

Q: Evaluate the limit: lim1-cos 3h h

A: Given

Q: Find the limit. lim (t i – 3 j + r² k)

A:

Q: Find the value of the limit lim sin 6 t t - 0 sin 4 t (a) 2 (b) 1.5 (c) 1.7 (d) 1.9 (e) 1.8

A: Recall the famous rule of limit:

Q: Q3. Compute the following limits if they exist. 1 (d) lim x sin

A:

Q: Find the limit. lim t-0 sin(6t) ; + e-tj + 4k i t

A:

Q: Find the limit, if it exists.

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

Q: ez +e Find the limit lim I100 et - e Enter I for oo, -I for -oo, and DNE if the limit does not…

A: The value of given limit is 1.  As per our guidelines we can solve the first question only and one…

Q: Find the limit. lim (e-4t i - j+ sin(6t) k sin?(t)

A:

Q: Find the limit. lim est - 1 t-0 sin(t)

A:

Q: Evaluate the limit T: x lim cos 4 x+11

A:

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

A:

Q: Find the following limit. t2 – 2t – 35 lim t+7 t - 7 answer = <

A: The given limit function is: limt→75t2+t-2,t2-2t-35t-7,4·cos(t) Find the value of the given limit…

Q: Find the limit. est - 1 lim t-0 sin(t)

A:

Q: Evaluate the limit lim sin(T cos x) 1 C T A,

A: we need to calculate Limx→π sin(πcos(x))Now we will substitute x = π to get answer .

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

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Q: Find the limit: 1 – cos(x) lim x2

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Q: Find the limit: -3t e to - 1 t10 – t9' 2+ t -5 lim( t t→0

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Q: Find the limit. lim ey sin P -(5, 0, -5) O 1

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)  lim t→0  (1/t) -…

A: Given limt→01t-1t2+t        ⇒limt→01t-1tt+1∵taking 't' common         ⇒limt→0t+1-1tt+1∵ using…

Q: 8. Find the limit: lim E1(1 130 noisieoq Isisinle bna baoes 1aq d00

A: The detailed solution is given below Thank you

Q: -5x? + 2x for æ 0 According to the definition of derivative, to compute f'(0), we need to compute…

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Q: Vh+ 196 – 14 - Find the limit lim h→0 h

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

A:

Q: (9) Find the limit for the given function. h lim (P-3r) mi (sin (8t))² हर t-Do Ne-xst

A: This question is based on limits.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.